73648463120064 has 168 divisors, whose sum is σ = 253954913821440. Its totient is φ = 19934922327552.

The previous prime is 73648463120033. The next prime is 73648463120101. The reversal of 73648463120064 is 46002136484637.

73648463120064 is a `hidden beast` number, since 7 + 36 + 484 + 6 + 3 + 120 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×73648463120064³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480607284 + ... + 480760499.

Almost surely, 2^{73648463120064} is an apocalyptic number.

It is an amenable number.

73648463120064 is an abundant number, since it is smaller than the sum of its proper divisors (180306450701376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73648463120064 is a wasteful number, since it uses less digits than its factorization.

73648463120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961367827 (or 961367814 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 73648463120064 in words is "seventy-three trillion, six hundred forty-eight billion, four hundred sixty-three million, one hundred twenty thousand, sixty-four".