Ridic-O'Clock

The hour of ridiculous, so late at night or early in the morning that it can't be expressed by a concrete hour.

Though it generally refers to the time between 3:00 AM and 7:00 AM, it can be used in place of any time the speaker finds absurd.

"I can't go home with her, I have work in the morning and she stays out till like, ridic-O'clock.