Do you know that you could've easily answered your equation by consulting an online dictionary? If you refer to a time as an ungodly hour, you are emphasizing that it is very early in the morning. That's from [**here**][1]. Here's how [**English Oxford Living Dictionaries**][2] defines it:

>2 *informal* Unreasonably early or inconvenient.

>*'I've been troubled by telephone calls at ungodly hours'*


  [1]: https://www.collinsdictionary.com/dictionary/english/ungodly
  [2]: https://en.oxforddictionaries.com/definition/ungodly