6331944960 has 520 divisors, whose sum is σ = 24833277216. Its totient is φ = 1530593280.

The previous prime is 6331944937. The next prime is 6331944977. The reversal of 6331944960 is 694491336.

6331944960 is a `hidden beast` number, since 633 + 1 + 9 + 4 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 18247507 + ... + 18247853.

Almost surely, 2^6331944960 is an apocalyptic number.

6331944960 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 6331944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416638608).

6331944960 is an abundant number, since it is smaller than the sum of its proper divisors (18501332256).

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

6331944960 is a wasteful number, since it uses less digits than its factorization.

6331944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 6331944960 is about 79573.5192133665. The cubic root of 6331944960 is about 1850.0311618807.

The spelling of 6331944960 in words is "six billion, three hundred thirty-one million, nine hundred forty-four thousand, nine hundred sixty".