Given that \(y = 6^2\). If \(y' = a\), and \(a! = b\), find \(b\).

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**Clarifications**:

- \(y' \) denotes the derivative of \(y\) with respect to the variable \(x\).
- \(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

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