6395 = 5 x 1279.
6395 is the number of ways to divide a 12 x 12 grid of points into two sets using a straight line (A114043).
6395 is the number of primes of the form 1 + b4 for b less than 105 (A215048).
6395 is the number of connected functions on 9 points with a single labeled point (A038002).
Source: What's Special About This Number?