6624903168 has 264 divisors, whose sum is σ = 21374168088. Its totient is φ = 2038431744.

The previous prime is 6624903161. The next prime is 6624903191. The reversal of 6624903168 is 8613094266.

6624903168 is a `hidden beast` number, since 6 + 624 + 9 + 0 + 3 + 16 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6624903161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509607930 + ... + 509607942.

Almost surely, 2^6624903168 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 6624903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687084044).

6624903168 is an abundant number, since it is smaller than the sum of its proper divisors (14749264920).

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

6624903168 is an frugal number, since it uses more digits than its factorization.

6624903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6624903168 is about 81393.5081440774. The cubic root of 6624903168 is about 1878.1337266594.

The spelling of 6624903168 in words is "six billion, six hundred twenty-four million, nine hundred three thousand, one hundred sixty-eight".