5566566564 has 240 divisors, whose sum is σ = 16712665200. Its totient is φ = 1606044672.

The previous prime is 5566566557. The next prime is 5566566569. The reversal of 5566566564 is 4656656655.

It can be written as a sum of positive squares in 8 ways, for example, as 875686464 + 4690880100 = 29592^2 + 68490^2 .

It is a super-2 number, since 2×5566566564² = 61973326622885532192, 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 5566566564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566566569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20693422 + ... + 20693690.

It is an arithmetic number, because the mean of its divisors is an integer number (69636105).

Almost surely, 2^5566566564 is an apocalyptic number.

5566566564 is a gapful number since it is divisible by the number (54) 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 5566566564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356332600).

5566566564 is an abundant number, since it is smaller than the sum of its proper divisors (11146098636).

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

5566566564 is a wasteful number, since it uses less digits than its factorization.

5566566564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The square root of 5566566564 is about 74609.4267770501. The cubic root of 5566566564 is about 1772.2669373672.

Subtracting from 5566566564 its reverse (4656656655), we obtain a palindrome (909909909).

The spelling of 5566566564 in words is "five billion, five hundred sixty-six million, five hundred sixty-six thousand, five hundred sixty-four".