6331842400 has 72 divisors (see below), whose sum is σ = 16646684544. Its totient is φ = 2337907200.

The previous prime is 6331842371. The next prime is 6331842401. The reversal of 6331842400 is 42481336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331842401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 294016 + ... + 314815.

It is an arithmetic number, because the mean of its divisors is an integer number (231203952).

Almost surely, 2^6331842400 is an apocalyptic number.

It is an amenable number.

6331842400 is an abundant number, since it is smaller than the sum of its proper divisors (10314842144).

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

6331842400 is a wasteful number, since it uses less digits than its factorization.

6331842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608864 (or 608851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6331842400 is about 79572.8747752650. The cubic root of 6331842400 is about 1850.0211733637.

The spelling of 6331842400 in words is "six billion, three hundred thirty-one million, eight hundred forty-two thousand, four hundred".