Sparky is yet again being accused of being a robot. He needs to solve this question to prove his innocence.

Given a number x and has defined the following functions:

$p(x) = x!$

$s(x) = 1+2+3+ ... +x$

Find the value of $p(x)$ mod $s(x)$ for $x = 10^9+6$

Hint: $10^9+7$ is a prime number