6606762624 has 768 divisors, whose sum is σ = 25569196800. Its totient is φ = 1642291200.

The previous prime is 6606762623. The next prime is 6606762637. The reversal of 6606762624 is 4262676066.

It is a self number, because there is not a number n which added to its sum of digits gives 6606762624.

It is not an unprimeable number, because it can be changed into a prime (6606762623) 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 95 ways as a sum of consecutive naturals, for example, 108307554 + ... + 108307614.

It is an arithmetic number, because the mean of its divisors is an integer number (33293225).

Almost surely, 2^6606762624 is an apocalyptic number.

6606762624 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 6606762624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784598400).

6606762624 is an abundant number, since it is smaller than the sum of its proper divisors (18962434176).

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

6606762624 is a wasteful number, since it uses less digits than its factorization.

6606762624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6606762624 is about 81281.9944637187. The cubic root of 6606762624 is about 1876.4179022115.

The spelling of 6606762624 in words is "six billion, six hundred six million, seven hundred sixty-two thousand, six hundred twenty-four".