Volumetric Charge Density

1. The problem statement, all variables and given/known data
If the Earth's surface was charged to Q_TOTAL = 13548.3 [C] by removing all of the electrons from a volume of soil, how large would this volume be? Assume electron density of soil = 7e²³ [cm^-3].

2. Relevant equations
Volumetric charge density p_v = Q_TOTAL/volume of soil.

Electron density is = # of electrons per unit volume.

3. The attempt at a solution
By rearranging the volumetric charge density formula, I can gather that Q_TOTAL / p_v. Rearranging the second formula, I can get volume equal to #electrons/electron density. In a general sense, density is equal to mass/volume. I could solve for volume easily here, knowing the mass of an electron. But then, how is charge involved? How do I get the volume of soil, given the amount of charge that was removed from this volume?

Thank you for the help!