Level
3

Evaluate

where $\tau(N)$ denotes the number of positive integer divisors of N, and, where $\frac { a }{ \frac { b }{ \frac { c }{ \frac { d }{ \frac { e }{ f } } } } } = \left( \begin{array}{c} a \\ \hline \left( \begin{array}{c} b \\ \hline \left( \begin{array}{c} c \\ \hline \left( \begin{array}{c} d \\ \hline \left( \dfrac{e}{f} \right) \end{array} \right) \end{array} \right) \end{array} \right) \end{array} \right)$