Totient sum (noch nicht übersetzt)

Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function)
You are given that S(510510,10⁶ )= 45480596821125120.

Find S(510510,10¹¹).
Give the last 9 digits of your answer.