4657997564 has 24 divisors (see below), whose sum is σ = 8898758400. Its totient is φ = 2115791280.

The previous prime is 4657997563. The next prime is 4657997579.

4657997564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4657997497 and 4657997506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657997563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27917 + ... + 100475.

It is an arithmetic number, because the mean of its divisors is an integer number (370781600).

Almost surely, 2^4657997564 is an apocalyptic number.

4657997564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4657997564 is a deficient number, since it is larger than the sum of its proper divisors (4240760836).

4657997564 is a wasteful number, since it uses less digits than its factorization.

4657997564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74033 (or 74031 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 62.

The square root of 4657997564 is about 68249.5242767303. The cubic root of 4657997564 is about 1670.0638894127.

The spelling of 4657997564 in words is "four billion, six hundred fifty-seven million, nine hundred ninety-seven thousand, five hundred sixty-four".