57672724193536 has 243 divisors, whose sum is σ = 121419270212877. Its totient is φ = 27339321600000.

The previous prime is 57672724193521. The next prime is 57672724193573. The reversal of 57672724193536 is 63539142727675.

The square root of 57672724193536 is 7594256.

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

It can be written as a sum of positive squares in only one way, i.e., 1875409735936 + 55797314457600 = 1369456^2 + 7469760^2 .

It is a super-2 number, since 2×57672724193536² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229771809411 + ... + 229771809661.

Almost surely, 2^{57672724193536} is an apocalyptic number.

57672724193536 is the 7594256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57672724193536

57672724193536 is an abundant number, since it is smaller than the sum of its proper divisors (63746546019341).

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

57672724193536 is an frugal number, since it uses more digits than its factorization.

57672724193536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 345 counting only the distinct ones).

The product of its digits is 400075200, while the sum is 67.

The spelling of 57672724193536 in words is "fifty-seven trillion, six hundred seventy-two billion, seven hundred twenty-four million, one hundred ninety-three thousand, five hundred thirty-six".