457631638768 has 40 divisors (see below), whose sum is σ = 915329450880. Its totient is φ = 221418654720.

The previous prime is 457631638747. The next prime is 457631638777. The reversal of 457631638768 is 867836136754.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9686628 + ... + 9733756.

It is an arithmetic number, because the mean of its divisors is an integer number (22883236272).

Almost surely, 2^457631638768 is an apocalyptic number.

It is an amenable number.

457631638768 is an abundant number, since it is smaller than the sum of its proper divisors (457697812112).

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

457631638768 is a wasteful number, since it uses less digits than its factorization.

457631638768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66745 (or 66739 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

The spelling of 457631638768 in words is "four hundred fifty-seven billion, six hundred thirty-one million, six hundred thirty-eight thousand, seven hundred sixty-eight".