Έχω τόσες συναντήσεις σήμερα που δεν προλαβαίνω ούτε καφέ να πιω.

This is a very common Greek structure meaning so many ... that.

• Έχω τόσες συναντήσεις σήμερα που... = I have so many meetings today that...

So τόσες sets up the quantity, and που introduces the result:

• τόσες συναντήσεις = so many meetings
• που δεν προλαβαίνω... = that I don’t have time / can’t manage...

It works like English so ... that.

Because τόσες has to agree with συναντήσεις.

συνάντηση = meeting
Its gender and number here are:

• feminine
• plural

So the matching form is:

• masculine plural: τόσοι
• feminine plural: τόσες
• neuter plural: τόσα

Since συναντήσεις is feminine plural, Greek uses τόσες.

Συναντήσεις is the plural of συνάντηση.

Here it is the direct object of έχω:

• Έχω συνάντηση = I have a meeting
• Έχω συναντήσεις = I have meetings

In feminine nouns like συνάντηση, the nominative plural and accusative plural are the same:

• οι συναντήσεις = the meetings
• τις συναντήσεις = the meetings

So in this sentence, συναντήσεις is accusative plural, even though it looks the same as nominative plural.

Προλαβαίνω is a very useful Greek verb. It often means:

• to have enough time to do something
• to manage to do something in time
• sometimes to catch / make it before it’s too late

In this sentence:

• δεν προλαβαίνω ούτε καφέ να πιω = I don’t even have time to drink a coffee / I can’t even manage to drink a coffee

So it is not just a simple I’m not ahead kind of idea. It is specifically about time pressure.

Yes, που often means that / who / which, but it also appears in result clauses like this.

In τόσες ... που ..., it introduces the consequence:

• Έχω τόσες συναντήσεις σήμερα που δεν προλαβαίνω... = I have so many meetings today that I don’t have time...

So here που is functioning like that in the English pattern so many ... that ....

In Greek, negative words often work together. This is normal.

Here:

• δεν προλαβαίνω = I don’t have time / I can’t manage
• ούτε καφέ = not even coffee / not even a coffee

So:

• δεν ... ούτε ... = not even ...

This is standard Greek, not a double-negative mistake.

For example:

• Δεν είδα ούτε έναν άνθρωπο. = I didn’t see even one person.

So δεν negates the verb, and ούτε adds the meaning not even.

Because καφέ is the accusative singular form of καφές.

• nominative: ο καφές = the coffee
• accusative: τον καφέ = the coffee

Since καφέ is the object of πιω, Greek uses the accusative:

• να πιω καφέ = to drink coffee / to drink a coffee

This is very common with masculine nouns in -ές:

• ο καφές → τον καφέ

Greek often omits the article when talking about something in a general or indefinite way, especially with food, drink, and everyday activities.

So:

• να πιω καφέ = to drink coffee / to have a coffee
• να πιω έναν καφέ = to drink a coffee / have one coffee
• να πιω τον καφέ = to drink the coffee

In your sentence, ούτε καφέ να πιω sounds natural because it means not even have coffee / not even have a coffee in a general sense.

If you said ούτε έναν καφέ να πιω, that would put more emphasis on even one coffee.

Because Greek is using the aorist subjunctive here: να πιω.

After verbs like προλαβαίνω, Greek often uses να + verb to express what someone has or does not have time to do.

The difference is roughly:

• να πιω = to drink, as a single complete action
• να πίνω = to be drinking / to drink habitually or repeatedly

Here the meaning is I don’t even have time to drink a coffee as one complete action, so να πιω is the natural choice.

That is why πιω is better than πίνω here.

Yes. Πιω is the aorist subjunctive form based on the aorist stem of πίνω.

This is one of those verbs whose present and aorist stems are different:

• present: πίνω = I drink / I am drinking
• aorist: ήπια = I drank
• subjunctive with aorist meaning: να πιω = to drink

So even though πίνω and πιω look different, they belong to the same verb.

This is very common in Greek:

• βλέπω → να δω
• τρώω → να φάω
• πίνω → να πιω

Yes, Greek word order is quite flexible.

This sentence says:

• Έχω τόσες συναντήσεις σήμερα που...

But you could also hear:

• Σήμερα έχω τόσες συναντήσεις που...
• Έχω σήμερα τόσες συναντήσεις που...

All of these are possible. The differences are mainly about emphasis and rhythm.

• Σήμερα έχω... emphasizes today
• Έχω τόσες συναντήσεις σήμερα... feels very natural and conversational

So the position of σήμερα is not fixed the way it often is in English.

Yes, but the idea of having time / managing comes from δεν προλαβαίνω.

By itself:

• να πιω καφέ = to drink coffee / have a coffee

But in the full sentence:

• δεν προλαβαίνω ούτε καφέ να πιω

the meaning becomes:

• I don’t even have time to drink coffee
• I can’t even manage to have a coffee

So the phrase ούτε καφέ να πιω depends on δεν προλαβαίνω for its full meaning.

Yes, that would also be correct, but the nuance changes slightly.

• ούτε καφέ να πιω = not even have coffee / not even have a coffee
• ούτε έναν καφέ να πιω = not even have one coffee

Adding έναν makes it more explicit and a little more emphatic. It highlights the idea of even a single coffee.

The version without έναν is very natural and idiomatic in everyday Greek.