A number theory problem by Naren Bhandari

If $\large \color{#3D99F6}{N!} = \color{#D61F06}{S}$

Here $\color{#D61F06}{S}$ carries total number of seconds in six weeks. Find $\color{#3D99F6}{N}$.


Notation: $!$ is the factorial notation. For example, $8! = 1\times2\times3\times\cdots\times8$.

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