Hello from MrBillDoesMath!
Answer: 215
Discussion:
Let's start by rewriting the monomial as
215 x^18 y ^3 z^21
Now..
x^ 18 = (x^6)^3
y^3 = (y )^3
z^21 = (z^7)^3
So those terms are already cubes! The only remaining candidate is the number 215, which is not a cube.
Thank you,
MrB