657728672 has 48 divisors (see below), whose sum is σ = 1313512200. Its totient is φ = 324172800.

The previous prime is 657728651. The next prime is 657728689. The reversal of 657728672 is 276827756.

It can be written as a sum of positive squares in 4 ways, for example, as 579653776 + 78074896 = 24076^2 + 8836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 657728672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937922 + ... + 938622.

Almost surely, 2^657728672 is an apocalyptic number.

It is an amenable number.

657728672 is a deficient number, since it is larger than the sum of its proper divisors (655783528).

657728672 is a wasteful number, since it uses less digits than its factorization.

657728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 50.

The square root of 657728672 is about 25646.2213980929. The cubic root of 657728672 is about 869.6588577500.

The spelling of 657728672 in words is "six hundred fifty-seven million, seven hundred twenty-eight thousand, six hundred seventy-two".