6642307800 has 288 divisors, whose sum is σ = 23388346800. Its totient is φ = 1751777280.

The previous prime is 6642307781. The next prime is 6642307811. The reversal of 6642307800 is 87032466.

6642307800 is a `hidden beast` number, since 6 + 642 + 3 + 0 + 7 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4713496 + ... + 4714904.

Almost surely, 2^6642307800 is an apocalyptic number.

6642307800 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 6642307800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694173400).

6642307800 is an abundant number, since it is smaller than the sum of its proper divisors (16746039000).

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

6642307800 is a wasteful number, since it uses less digits than its factorization.

6642307800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6642307800 is about 81500.3546004556. The cubic root of 6642307800 is about 1879.7770031262. Note that the first 3 decimals are identical.

The spelling of 6642307800 in words is "six billion, six hundred forty-two million, three hundred seven thousand, eight hundred".