6331461696 has 336 divisors, whose sum is σ = 21502624000. Its totient is φ = 1780144128.

The previous prime is 6331461667. The next prime is 6331461761. The reversal of 6331461696 is 6961641336.

6331461696 is a `hidden beast` number, since 633 + 1 + 4 + 6 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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, 14422245 + ... + 14422683.

Almost surely, 2^6331461696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6331461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751312000).

6331461696 is an abundant number, since it is smaller than the sum of its proper divisors (15171162304).

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

6331461696 is a wasteful number, since it uses less digits than its factorization.

6331461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

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

The square root of 6331461696 is about 79570.4825673440. The cubic root of 6331461696 is about 1849.9840949205.

The spelling of 6331461696 in words is "six billion, three hundred thirty-one million, four hundred sixty-one thousand, six hundred ninety-six".