6331046400 has 480 divisors, whose sum is σ = 26567882880. Its totient is φ = 1446543360.

The previous prime is 6331046321. The next prime is 6331046413. The reversal of 6331046400 is 46401336.

6331046400 is a `hidden beast` number, since 6 + 3 + 3 + 10 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2417892 + ... + 2420508.

It is an arithmetic number, because the mean of its divisors is an integer number (55349756).

Almost surely, 2^6331046400 is an apocalyptic number.

6331046400 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 6331046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283941440).

6331046400 is an abundant number, since it is smaller than the sum of its proper divisors (20236836480).

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

6331046400 is a wasteful number, since it uses less digits than its factorization.

6331046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6331046400 is about 79567.8729136327. The cubic root of 6331046400 is about 1849.9436457146.

Adding to 6331046400 its reverse (46401336), we get a palindrome (6377447736).

The spelling of 6331046400 in words is "six billion, three hundred thirty-one million, forty-six thousand, four hundred".