5657633568 has 120 divisors (see below), whose sum is σ = 16662932748. Its totient is φ = 1883160576.

The previous prime is 5657633567. The next prime is 5657633603. The reversal of 5657633568 is 8653367565.

5657633568 is a `hidden beast` number, since 5 + 6 + 5 + 76 + 3 + 3 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5623200144 + 34433424 = 74988^2 + 5868^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5657633567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2676480 + ... + 2678592.

Almost surely, 2^5657633568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657633568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331466374).

5657633568 is an abundant number, since it is smaller than the sum of its proper divisors (11005299180).

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

5657633568 is a wasteful number, since it uses less digits than its factorization.

5657633568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3151 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 5657633568 is about 75217.2424913331. The cubic root of 5657633568 is about 1781.8792558395.

The spelling of 5657633568 in words is "five billion, six hundred fifty-seven million, six hundred thirty-three thousand, five hundred sixty-eight".