5666564736 has 512 divisors, whose sum is σ = 20357568000. Its totient is φ = 1517322240.

The previous prime is 5666564723. The next prime is 5666564747. The reversal of 5666564736 is 6374656665.

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 63 ways as a sum of consecutive naturals, for example, 28764190 + ... + 28764386.

It is an arithmetic number, because the mean of its divisors is an integer number (39760875).

Almost surely, 2^5666564736 is an apocalyptic number.

5666564736 is a gapful number since it is divisible by the number (56) 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 5666564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178784000).

5666564736 is an abundant number, since it is smaller than the sum of its proper divisors (14691003264).

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

5666564736 is a wasteful number, since it uses less digits than its factorization.

5666564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The square root of 5666564736 is about 75276.5882329958. The cubic root of 5666564736 is about 1782.8163906577.

The spelling of 5666564736 in words is "five billion, six hundred sixty-six million, five hundred sixty-four thousand, seven hundred thirty-six".