Frankly, factorials and calculus stuff is far more coherent than this integer , 0.
However, there’s one number that loves to snug into 0, it’s none other than 1. They get going like two peas in a pod , always !
Here’s an occurrence of this cushy approach to 0 & 1.
The main question that I’ve been attempting to fathom from 5th grade : Why should any number (except zero) raised to the zero power must equal 1?