5566638168 has 448 divisors, whose sum is σ = 20426333760. Its totient is φ = 1379524608.

The previous prime is 5566638137. The next prime is 5566638173. The reversal of 5566638168 is 8618366655.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9021796 + ... + 9022412.

It is an arithmetic number, because the mean of its divisors is an integer number (45594495).

Almost surely, 2^5566638168 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 5566638168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213166880).

5566638168 is an abundant number, since it is smaller than the sum of its proper divisors (14859695592).

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

5566638168 is a wasteful number, since it uses less digits than its factorization.

5566638168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 5566638168 is about 74609.9066344410. The cubic root of 5566638168 is about 1772.2745363576.

The spelling of 5566638168 in words is "five billion, five hundred sixty-six million, six hundred thirty-eight thousand, one hundred sixty-eight".