74719081760400 has 1215 divisors, whose sum is σ = 331721020305129. Its totient is φ = 15517744704000.

The previous prime is 74719081760381. The next prime is 74719081760413. The reversal of 74719081760400 is 406718091747.

It is a happy number.

The square root of 74719081760400 is 8644020.

It is a perfect power (a square), and thus also a powerful number.

74719081760400 is a `hidden beast` number, since 7 + 4 + 7 + 1 + 90 + 81 + 76 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26898869433744 + 47820212326656 = 5186412^2 + 6915216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 39935371465 + ... + 39935373335.

Almost surely, 2^{74719081760400} is an apocalyptic number.

74719081760400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74719081760400 is the 8644020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74719081760400

74719081760400 is an abundant number, since it is smaller than the sum of its proper divisors (257001938544729).

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

74719081760400 is a wasteful number, since it uses less digits than its factorization.

74719081760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 74719081760400 in words is "seventy-four trillion, seven hundred nineteen billion, eighty-one million, seven hundred sixty thousand, four hundred".