Product of Multiple Products?

Algebra Level 5

\[\large A= \displaystyle\prod_{l=1}^{7}\prod_{k=1}^{l}\prod_{j=1}^{k}\prod_{i=1}^{j} 64\]

If \(A\) can be written as \(B^C\), where \(B\) and \(C\) are integers with \(B\) is a prime number. Find \(B+C\)

Bonus: Generalise this product.

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