6560002624 has 112 divisors (see below), whose sum is σ = 16042965120. Its totient is φ = 2598359040.

The previous prime is 6560002513. The next prime is 6560002633. The reversal of 6560002624 is 4262000656.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339594 + ... + 358390.

It is an arithmetic number, because the mean of its divisors is an integer number (143240760).

Almost surely, 2^6560002624 is an apocalyptic number.

6560002624 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 6560002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021482560).

6560002624 is an abundant number, since it is smaller than the sum of its proper divisors (9482962496).

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

6560002624 is a wasteful number, since it uses less digits than its factorization.

6560002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18876 (or 18866 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 6560002624 is about 80993.8431240301. The cubic root of 6560002624 is about 1871.9805742256.

The spelling of 6560002624 in words is "six billion, five hundred sixty million, two thousand, six hundred twenty-four".