1. The problem is to convert 0.00000625c into a more convenient unit. 2. Note that $0.00000625c$ means $0.00000625$ times the speed of light $c$. 3. To express the number in scientific notation, write $0.00000625 = 6.25 \times 10^{-6}$. 4. So, $0.00000625c = 6.25 \times 10^{-6}c$. 5. A convenient unit is micro (\(\mu\)), which means $10^{-6}$. 6. Therefore, $0.00000625c = 6.25 \mu c$. 7. Final answer: $\boxed{6.25 \mu c}$, which means 6.25 micro times the speed of light.