8657997568 has 72 divisors (see below), whose sum is σ = 18887541120. Its totient is φ = 3928304640.

The previous prime is 8657997553. The next prime is 8657997619.

8657997568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8657997497 and 8657997506.

It is a congruent number.

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, 1740621 + ... + 1745587.

It is an arithmetic number, because the mean of its divisors is an integer number (262326960).

Almost surely, 2^8657997568 is an apocalyptic number.

8657997568 is a gapful number since it is divisible by the number (88) 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 8657997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443770560).

8657997568 is an abundant number, since it is smaller than the sum of its proper divisors (10229543552).

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

8657997568 is a wasteful number, since it uses less digits than its factorization.

8657997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5599 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 70.

The square root of 8657997568 is about 93048.3614471528. The cubic root of 8657997568 is about 2053.3949352782.

The spelling of 8657997568 in words is "eight billion, six hundred fifty-seven million, nine hundred ninety-seven thousand, five hundred sixty-eight".