6564997824 has 448 divisors, whose sum is σ = 23174553600. Its totient is φ = 1589575680.

The previous prime is 6564997787. The next prime is 6564997837. The reversal of 6564997824 is 4287994656.

It is a tau number, because it is divible by the number of its divisors (448).

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, 14621152 + ... + 14621600.

Almost surely, 2^6564997824 is an apocalyptic number.

6564997824 is a gapful number since it is divisible by the number (64) 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 6564997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587276800).

6564997824 is an abundant number, since it is smaller than the sum of its proper divisors (16609555776).

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

6564997824 is a wasteful number, since it uses less digits than its factorization.

6564997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The square root of 6564997824 is about 81024.6741678114. The cubic root of 6564997824 is about 1872.4556017240.

The spelling of 6564997824 in words is "six billion, five hundred sixty-four million, nine hundred ninety-seven thousand, eight hundred twenty-four".