74923748400 has 240 divisors, whose sum is σ = 242264994048. Its totient is φ = 19792512000.

The previous prime is 74923748357. The next prime is 74923748453. The reversal of 74923748400 is 484732947.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×74923748400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74923748400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92383995 + ... + 92384805.

Almost surely, 2^74923748400 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 74923748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121132497024).

74923748400 is an abundant number, since it is smaller than the sum of its proper divisors (167341245648).

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

74923748400 is a wasteful number, since it uses less digits than its factorization.

74923748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 74923748400 in words is "seventy-four billion, nine hundred twenty-three million, seven hundred forty-eight thousand, four hundred".