Charge density in a sphere, having a radius of R = 2, changes according to the equation rho(x, φ) = 10x³φ³. Find the total charge inside the sphere.

a) 2560 π³
b) 640 π⁴
c) 2560 π⁴ / 3
d) 640 π³
e) 393216 π⁴ / 13