74972904864 has 432 divisors, whose sum is σ = 236652185952. Its totient is φ = 20756736000.

The previous prime is 74972904863. The next prime is 74972904887. The reversal of 74972904864 is 46840927947.

It is a junction number, because it is equal to n+sod(n) for n = 74972904798 and 74972904807.

It is not an unprimeable number, because it can be changed into a prime (74972904863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355321719 + ... + 355321929.

It is an arithmetic number, because the mean of its divisors is an integer number (547805986).

Almost surely, 2^74972904864 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 74972904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118326092976).

74972904864 is an abundant number, since it is smaller than the sum of its proper divisors (161679281088).

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

74972904864 is a wasteful number, since it uses less digits than its factorization.

74972904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 74972904864 in words is "seventy-four billion, nine hundred seventy-two million, nine hundred four thousand, eight hundred sixty-four".