6544664456 has 96 divisors (see below), whose sum is σ = 14246215200. Its totient is φ = 2808748800.

The previous prime is 6544664449. The next prime is 6544664461.

6544664456 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9581891 + ... + 9582573.

It is an arithmetic number, because the mean of its divisors is an integer number (148398075).

Almost surely, 2^6544664456 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 6544664456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123107600).

6544664456 is an abundant number, since it is smaller than the sum of its proper divisors (7701550744).

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

6544664456 is a wasteful number, since it uses less digits than its factorization.

6544664456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1236 counting only the distinct ones).

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

The square root of 6544664456 is about 80899.1004647147. The cubic root of 6544664456 is about 1870.5204549038.

The spelling of 6544664456 in words is "six billion, five hundred forty-four million, six hundred sixty-four thousand, four hundred fifty-six".