Numerical algebra

Find the total possible number of integral values of \[x\] so that the the expression \[\frac{6x^{2}+6x+k}{x}\] has integral value, if k = \[p^{a} \times q^{b} \times r^{c}\] where \[p, q , r\] are distinct primes and \[(a+1)(b+1)(c+1) = 64\]

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