6642622800 has 720 divisors, whose sum is σ = 26596297728. Its totient is φ = 1520870400.

The previous prime is 6642622783. The next prime is 6642622841. The reversal of 6642622800 is 82262466.

6642622800 is a `hidden beast` number, since 6 + 6 + 426 + 228 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80031559 + ... + 80031641.

Almost surely, 2^6642622800 is an apocalyptic number.

6642622800 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 6642622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298148864).

6642622800 is an abundant number, since it is smaller than the sum of its proper divisors (19953674928).

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

6642622800 is a wasteful number, since it uses less digits than its factorization.

6642622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6642622800 is about 81502.2870844739. The cubic root of 6642622800 is about 1879.8067177180.

The spelling of 6642622800 in words is "six billion, six hundred forty-two million, six hundred twenty-two thousand, eight hundred".