74564104559616 has 1056 divisors, whose sum is σ = 266405487888960. Its totient is φ = 20783165276160.

The previous prime is 74564104559587. The next prime is 74564104559683. The reversal of 74564104559616 is 61695540146547.

74564104559616 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 4 + 1 + 0 + 4 + 5 + 5 + 9 + 616 = 666.

It is a super-2 number, since 2×74564104559616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4499123106 + ... + 4499139678.

Almost surely, 2^{74564104559616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74564104559616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133202743944480).

74564104559616 is an abundant number, since it is smaller than the sum of its proper divisors (191841383329344).

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

74564104559616 is an equidigital number, since it uses as much as digits as its factorization.

74564104559616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16669 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 74564104559616 in words is "seventy-four trillion, five hundred sixty-four billion, one hundred four million, five hundred fifty-nine thousand, six hundred sixteen".