57674904336 has 225 divisors, whose sum is σ = 194385413541. Its totient is φ = 16461252864.

The previous prime is 57674904319. The next prime is 57674904349. The reversal of 57674904336 is 63340947675.

It is a happy number.

The square root of 57674904336 is 240156.

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

57674904336 is a `hidden beast` number, since 57 + 6 + 74 + 90 + 433 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24018800400 + 33656103936 = 154980^2 + 183456^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 60518836 + ... + 60519788.

Almost surely, 2^57674904336 is an apocalyptic number.

57674904336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57674904336 is the 240156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57674904336

57674904336 is an abundant number, since it is smaller than the sum of its proper divisors (136710509205).

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

57674904336 is an frugal number, since it uses more digits than its factorization.

57674904336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 57674904336 in words is "fifty-seven billion, six hundred seventy-four million, nine hundred four thousand, three hundred thirty-six".