6564799872 has 160 divisors (see below), whose sum is σ = 19597861800. Its totient is φ = 2181427200.

The previous prime is 6564799859. The next prime is 6564799873. The reversal of 6564799872 is 2789974656.

6564799872 is a `hidden beast` number, since 6 + 5 + 6 + 479 + 98 + 72 = 666.

It is a super-2 number, since 2×6564799872² = 86193194718822432768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564799873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4156779 + ... + 4158357.

Almost surely, 2^6564799872 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 6564799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798930900).

6564799872 is an abundant number, since it is smaller than the sum of its proper divisors (13033061928).

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

6564799872 is a wasteful number, since it uses less digits than its factorization.

6564799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1985 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 6564799872 is about 81023.4526047860. The cubic root of 6564799872 is about 1872.4367817098.

The spelling of 6564799872 in words is "six billion, five hundred sixty-four million, seven hundred ninety-nine thousand, eight hundred seventy-two".