4657887564 has 24 divisors (see below), whose sum is σ = 11856441408. Its totient is φ = 1411481040.

The previous prime is 4657887431. The next prime is 4657887587.

4657887564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4657887498 and 4657887507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17643382 + ... + 17643645.

It is an arithmetic number, because the mean of its divisors is an integer number (494018392).

Almost surely, 2^4657887564 is an apocalyptic number.

4657887564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4657887564 is an abundant number, since it is smaller than the sum of its proper divisors (7198553844).

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

4657887564 is a wasteful number, since it uses less digits than its factorization.

4657887564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35287045 (or 35287043 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 4657887564 is about 68248.7184055496. The cubic root of 4657887564 is about 1670.0507429572.

The spelling of 4657887564 in words is "four billion, six hundred fifty-seven million, eight hundred eighty-seven thousand, five hundred sixty-four".