6630568800 has 288 divisors, whose sum is σ = 22741544448. Its totient is φ = 1674731520.

The previous prime is 6630568733. The next prime is 6630568801. The reversal of 6630568800 is 88650366.

It is a super-2 number, since 2×6630568800² = 87928885223066880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6630568801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6237069 + ... + 6238131.

It is an arithmetic number, because the mean of its divisors is an integer number (78963696).

Almost surely, 2^6630568800 is an apocalyptic number.

6630568800 is a gapful number since it is divisible by the number (60) 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 6630568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370772224).

6630568800 is an abundant number, since it is smaller than the sum of its proper divisors (16110975648).

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

6630568800 is a wasteful number, since it uses less digits than its factorization.

6630568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6630568800 is about 81428.3046612172. The cubic root of 6630568800 is about 1878.6689688289.

The spelling of 6630568800 in words is "six billion, six hundred thirty million, five hundred sixty-eight thousand, eight hundred".