6504626688 has 320 divisors, whose sum is σ = 21401487360. Its totient is φ = 1714470912.

The previous prime is 6504626669. The next prime is 6504626707. The reversal of 6504626688 is 8866264056.

It is an interprime number because it is at equal distance from previous prime (6504626669) and next prime (6504626707).

It is a self number, because there is not a number n which added to its sum of digits gives 6504626688.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7171131 + ... + 7172037.

It is an arithmetic number, because the mean of its divisors is an integer number (66879648).

Almost surely, 2^6504626688 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 6504626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700743680).

6504626688 is an abundant number, since it is smaller than the sum of its proper divisors (14896860672).

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

6504626688 is a wasteful number, since it uses less digits than its factorization.

6504626688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 6504626688 is about 80651.2658797120. The cubic root of 6504626688 is about 1866.6982724807.

The spelling of 6504626688 in words is "six billion, five hundred four million, six hundred twenty-six thousand, six hundred eighty-eight".