74923764400 has 60 divisors (see below), whose sum is σ = 180030664800. Its totient is φ = 29965123840.

The previous prime is 74923764389. The next prime is 74923764439. The reversal of 74923764400 is 446732947.

It is a super-3 number, since 3×74923764400³ (a number of 34 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5284521 + ... + 5298679.

It is an arithmetic number, because the mean of its divisors is an integer number (3000511080).

Almost surely, 2^74923764400 is an apocalyptic number.

It is an amenable number.

74923764400 is an abundant number, since it is smaller than the sum of its proper divisors (105106900400).

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

74923764400 is a wasteful number, since it uses less digits than its factorization.

74923764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27406 (or 27395 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 74923764400 in words is "seventy-four billion, nine hundred twenty-three million, seven hundred sixty-four thousand, four hundred".