おかげでほぼ完徹だ。

。

Thanks to that, I'm basically running on no sleep.

Literal

Thanks-to-that almost complete-all-nighter [copula-だ].

完徹 is slang abbreviated from 完全に徹夜 'complete all-nighter.' おかげで 'thanks to / because of' here is sarcastic — the situation wasn't desirable. ほぼ 'almost / nearly' softens the claim. A terse, exhausted statement typical of college-student or otaku discourse.