A number theory problem by Naren Bhandari

If \[\large \color {blue}{N!} = \color {red}{S}\]

Here \(\color {red}{S}\) carries total number of seconds in six weeks. Find \(\color {blue}{N}\).

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

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