4668637800 has 96 divisors (see below), whose sum is σ = 14864004000. Its totient is φ = 1211316480.

The previous prime is 4668637777. The next prime is 4668637807. The reversal of 4668637800 is 87368664.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4668637800.

It is not an unprimeable number, because it can be changed into a prime (4668637807) 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 23 ways as a sum of consecutive naturals, for example, 82950 + ... + 127349.

It is an arithmetic number, because the mean of its divisors is an integer number (154833375).

Almost surely, 2^4668637800 is an apocalyptic number.

4668637800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4668637800 is an abundant number, since it is smaller than the sum of its proper divisors (10195366200).

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

4668637800 is a wasteful number, since it uses less digits than its factorization.

4668637800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210355 (or 210346 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 4668637800 is about 68327.4308019846. The cubic root of 4668637800 is about 1671.3345613614.

The spelling of 4668637800 in words is "four billion, six hundred sixty-eight million, six hundred thirty-seven thousand, eight hundred".