257732743968 has 144 divisors (see below), whose sum is σ = 868654987200. Its totient is φ = 73637911296.

The previous prime is 257732743943. The next prime is 257732743981. The reversal of 257732743968 is 869347237752.

257732743968 is a `hidden beast` number, since 2 + 57 + 73 + 27 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313043 + ... + 2421906.

It is an arithmetic number, because the mean of its divisors is an integer number (6032326300).

Almost surely, 2^257732743968 is an apocalyptic number.

257732743968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257732743968 is an abundant number, since it is smaller than the sum of its proper divisors (610922243232).

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

257732743968 is an equidigital number, since it uses as much as digits as its factorization.

257732743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734981 (or 4734961 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 257732743968 in words is "two hundred fifty-seven billion, seven hundred thirty-two million, seven hundred forty-three thousand, nine hundred sixty-eight".