57672666627675 has 48 divisors (see below), whose sum is σ = 104021778787200. Its totient is φ = 27962166304000.

The previous prime is 57672666627671. The next prime is 57672666627689.

57672666627675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57672666627675 - 2² = 57672666627671 is a prime.

It is a super-2 number, since 2×57672666627675² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57672666627675.

It is not an unprimeable number, because it can be changed into a prime (57672666627671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76099615 + ... + 76853735.

It is an arithmetic number, because the mean of its divisors is an integer number (2167120391400).

Almost surely, 2^{57672666627675} is an apocalyptic number.

57672666627675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57672666627675 is a deficient number, since it is larger than the sum of its proper divisors (46349112159525).

57672666627675 is a wasteful number, since it uses less digits than its factorization.

57672666627675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846844 (or 846839 counting only the distinct ones).

The product of its digits is 11202105600, while the sum is 78.

The spelling of 57672666627675 in words is "fifty-seven trillion, six hundred seventy-two billion, six hundred sixty-six million, six hundred twenty-seven thousand, six hundred seventy-five".