6504582880 has 48 divisors (see below), whose sum is σ = 15408417024. Its totient is φ = 2594833920.

The previous prime is 6504582863. The next prime is 6504582983. The reversal of 6504582880 is 882854056.

It is a self number, because there is not a number n which added to its sum of digits gives 6504582880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5185 + ... + 114175.

It is an arithmetic number, because the mean of its divisors is an integer number (321008688).

Almost surely, 2^6504582880 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 6504582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704208512).

6504582880 is an abundant number, since it is smaller than the sum of its proper divisors (8903834144).

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

6504582880 is a wasteful number, since it uses less digits than its factorization.

6504582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109379 (or 109371 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 6504582880 is about 80650.9942902132. The cubic root of 6504582880 is about 1866.6940817969.

The spelling of 6504582880 in words is "six billion, five hundred four million, five hundred eighty-two thousand, eight hundred eighty".