74976900192 has 72 divisors (see below), whose sum is σ = 213340012704. Its totient is φ = 24977712384.

The previous prime is 74976900157. The next prime is 74976900241. The reversal of 74976900192 is 29100967947.

74976900192 is a `hidden beast` number, since 7 + 497 + 69 + 0 + 0 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×74976900192² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 423993 + ... + 574215.

It is an arithmetic number, because the mean of its divisors is an integer number (2963055732).

Almost surely, 2^74976900192 is an apocalyptic number.

74976900192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74976900192 is an abundant number, since it is smaller than the sum of its proper divisors (138363112512).

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

74976900192 is a wasteful number, since it uses less digits than its factorization.

74976900192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151972 (or 151961 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 74976900192 in words is "seventy-four billion, nine hundred seventy-six million, nine hundred thousand, one hundred ninety-two".