4657557564 has 96 divisors (see below), whose sum is σ = 13192838400. Its totient is φ = 1409244480.

The previous prime is 4657557563. The next prime is 4657557587.

It is a happy number.

4657557564 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 5 + 575 + 64 = 666.

4657557564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4657557564² = 43385684923947228192, which contains 22 as substring.

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 4657557564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657557563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896727 + ... + 901905.

It is an arithmetic number, because the mean of its divisors is an integer number (137425400).

Almost surely, 2^4657557564 is an apocalyptic number.

4657557564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4657557564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596419200).

4657557564 is an abundant number, since it is smaller than the sum of its proper divisors (8535280836).

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

4657557564 is a wasteful number, since it uses less digits than its factorization.

4657557564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The square root of 4657557564 is about 68246.3007349116. The cubic root of 4657557564 is about 1670.0113023486.

The spelling of 4657557564 in words is "four billion, six hundred fifty-seven million, five hundred fifty-seven thousand, five hundred sixty-four".