6624592480 has 192 divisors, whose sum is σ = 18301344768. Its totient is φ = 2241423360.

The previous prime is 6624592451. The next prime is 6624592501. The reversal of 6624592480 is 842954266.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 6624592480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495549 + ... + 1499971.

It is an arithmetic number, because the mean of its divisors is an integer number (95319504).

Almost surely, 2^6624592480 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 6624592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150672384).

6624592480 is an abundant number, since it is smaller than the sum of its proper divisors (11676752288).

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

6624592480 is a wasteful number, since it uses less digits than its factorization.

6624592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 6624592480 is about 81391.5995665400. The cubic root of 6624592480 is about 1878.1043665959.

The spelling of 6624592480 in words is "six billion, six hundred twenty-four million, five hundred ninety-two thousand, four hundred eighty".