6589664480 has 96 divisors (see below), whose sum is σ = 18273076416. Its totient is φ = 2198237184.

The previous prime is 6589664453. The next prime is 6589664483. The reversal of 6589664480 is 844669856.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6589664483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38069 + ... + 120948.

It is an arithmetic number, because the mean of its divisors is an integer number (190344546).

Almost surely, 2^6589664480 is an apocalyptic number.

It is an amenable number.

6589664480 is an abundant number, since it is smaller than the sum of its proper divisors (11683411936).

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

6589664480 is a wasteful number, since it uses less digits than its factorization.

6589664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159076 (or 159068 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The square root of 6589664480 is about 81176.7483950916. The cubic root of 6589664480 is about 1874.7977955575.

The spelling of 6589664480 in words is "six billion, five hundred eighty-nine million, six hundred sixty-four thousand, four hundred eighty".