74844257904 has 200 divisors, whose sum is σ = 233718808400. Its totient is φ = 22986104832.

The previous prime is 74844257857. The next prime is 74844257923. The reversal of 74844257904 is 40975244847.

74844257904 is a `hidden beast` number, since 74 + 84 + 425 + 79 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 9717447 + ... + 9725145.

It is an arithmetic number, because the mean of its divisors is an integer number (1168594042).

Almost surely, 2^74844257904 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 74844257904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116859404200).

74844257904 is an abundant number, since it is smaller than the sum of its proper divisors (158874550496).

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

74844257904 is a wasteful number, since it uses less digits than its factorization.

74844257904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 74844257904 in words is "seventy-four billion, eight hundred forty-four million, two hundred fifty-seven thousand, nine hundred four".