6565665656 has 64 divisors (see below), whose sum is σ = 13943491200. Its totient is φ = 2870985600.

The previous prime is 6565665647. The next prime is 6565665661.

6565665656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717671 + ... + 726761.

It is an arithmetic number, because the mean of its divisors is an integer number (217867050).

Almost surely, 2^6565665656 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 6565665656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971745600).

6565665656 is an abundant number, since it is smaller than the sum of its proper divisors (7377825544).

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

6565665656 is a wasteful number, since it uses less digits than its factorization.

6565665656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9416 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 56.

The square root of 6565665656 is about 81028.7952273758. The cubic root of 6565665656 is about 1872.5190921421.

The spelling of 6565665656 in words is "six billion, five hundred sixty-five million, six hundred sixty-five thousand, six hundred fifty-six".