6564523680 has 576 divisors, whose sum is σ = 26747884800. Its totient is φ = 1445068800.

The previous prime is 6564523673. The next prime is 6564523681. The reversal of 6564523680 is 863254656.

6564523680 is a `hidden beast` number, since 6 + 5 + 64 + 523 + 68 + 0 = 666.

It is a super-2 number, since 2×6564523680² = 86185942290561484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6564523681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14620096 + ... + 14620544.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^6564523680 is an apocalyptic number.

6564523680 is a gapful number since it is divisible by the number (60) 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 6564523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373942400).

6564523680 is an abundant number, since it is smaller than the sum of its proper divisors (20183361120).

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

6564523680 is a wasteful number, since it uses less digits than its factorization.

6564523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6564523680 is about 81021.7481914578. The cubic root of 6564523680 is about 1872.4105225030.

The spelling of 6564523680 in words is "six billion, five hundred sixty-four million, five hundred twenty-three thousand, six hundred eighty".