74569920763968 has 1680 divisors, whose sum is σ = 266952656394864. Its totient is φ = 20512183910400.

The previous prime is 74569920763909. The next prime is 74569920764033. The reversal of 74569920763968 is 86936702996547.

74569920763968 is a `hidden beast` number, since 7 + 4 + 56 + 99 + 20 + 76 + 396 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9963820528704 + 64606100235264 = 3156552^2 + 8037792^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 235236342946 + ... + 235236343262.

Almost surely, 2^{74569920763968} 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 74569920763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133476328197432).

74569920763968 is an abundant number, since it is smaller than the sum of its proper divisors (192382735630896).

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

74569920763968 is a wasteful number, since it uses less digits than its factorization.

74569920763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 74569920763968 in words is "seventy-four trillion, five hundred sixty-nine billion, nine hundred twenty million, seven hundred sixty-three thousand, nine hundred sixty-eight".