\[\sum_{n=1}^{\infty} \frac{\phi(n)}{n^{4}} = S\]

\(S\) can be written in the format given below . \[S = \zeta (a) \cdot \dfrac{b}{\pi ^{c}}.\]

Submit your answer as \(a+b+c\)

**Notation**: \(\zeta(\cdot) \) denotes the Riemann zeta function.

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