Product of Multiple Products?

Algebra Level 5

A=l=17k=1lj=1ki=1j64\large A= \displaystyle\prod_{l=1}^{7}\prod_{k=1}^{l}\prod_{j=1}^{k}\prod_{i=1}^{j} 64

If AA can be written as BCB^C, where BB and CC are integers with BB is a prime number. Find B+CB+C

Bonus: Generalise this product.

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