6564444656 has 80 divisors (see below), whose sum is σ = 15893625600. Its totient is φ = 2551664640.

The previous prime is 6564444643. The next prime is 6564444659.

6564444656 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564444659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547235 + ... + 559101.

It is an arithmetic number, because the mean of its divisors is an integer number (198670320).

Almost surely, 2^6564444656 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 6564444656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946812800).

6564444656 is an abundant number, since it is smaller than the sum of its proper divisors (9329180944).

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

6564444656 is a wasteful number, since it uses less digits than its factorization.

6564444656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12336 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The square root of 6564444656 is about 81021.2605184590. The cubic root of 6564444656 is about 1872.4030090885.

The spelling of 6564444656 in words is "six billion, five hundred sixty-four million, four hundred forty-four thousand, six hundred fifty-six".