Let $$L = \sum_{n=1}^{\infty} \frac{\varphi(n)}{2020^n - 1}$$ Here $\varphi(n)$ is the totient function. It can be shown that $L$ can be represented as $\frac{P}{Q}$, where $P$ and $Q$ are coprime integers, and $Q \not\equiv 0\pmod{1000000007}$. Find the value of $P\cdot Q^{-1}$ modulo $1000000007$.