257614630668 has 576 divisors, whose sum is σ = 781208064000. Its totient is φ = 70976176128.

The previous prime is 257614630667. The next prime is 257614630729. The reversal of 257614630668 is 866036416752.

257614630668 is a `hidden beast` number, since 2 + 576 + 1 + 4 + 6 + 3 + 0 + 6 + 68 = 666.

It is a super-2 number, since 2×257614630668² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257614630667) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1880398696 + ... + 1880398832.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264000).

Almost surely, 2^257614630668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257614630668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390604032000).

257614630668 is an abundant number, since it is smaller than the sum of its proper divisors (523593433332).

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

257614630668 is a wasteful number, since it uses less digits than its factorization.

257614630668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 257614630668 in words is "two hundred fifty-seven billion, six hundred fourteen million, six hundred thirty thousand, six hundred sixty-eight".