4657957164 has 84 divisors (see below), whose sum is σ = 13967543184. Its totient is φ = 1330839072.

The previous prime is 4657957127. The next prime is 4657957189. The reversal of 4657957164 is 4617597564.

4657957164 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 9 + 571 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4657957164.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 93687 + ... + 134510.

It is an arithmetic number, because the mean of its divisors is an integer number (166280276).

Almost surely, 2^4657957164 is an apocalyptic number.

It is an amenable number.

4657957164 is an abundant number, since it is smaller than the sum of its proper divisors (9309586020).

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

4657957164 is a wasteful number, since it uses less digits than its factorization.

4657957164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228226 (or 228209 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 4657957164 is about 68249.2283033296. The cubic root of 4657957164 is about 1670.0590611022.

The spelling of 4657957164 in words is "four billion, six hundred fifty-seven million, nine hundred fifty-seven thousand, one hundred sixty-four".