6317232768 has 640 divisors, whose sum is σ = 24135027840. Its totient is φ = 1592524800.

The previous prime is 6317232751. The next prime is 6317232769. The reversal of 6317232768 is 8672327136.

6317232768 is a `hidden beast` number, since 6 + 317 + 2 + 327 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6317232769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32731680 + ... + 32731872.

It is an arithmetic number, because the mean of its divisors is an integer number (37710981).

Almost surely, 2^6317232768 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 6317232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067513920).

6317232768 is an abundant number, since it is smaller than the sum of its proper divisors (17817795072).

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

6317232768 is a wasteful number, since it uses less digits than its factorization.

6317232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 6317232768 is about 79481.0214327924. The cubic root of 6317232768 is about 1848.5972095792.

The spelling of 6317232768 in words is "six billion, three hundred seventeen million, two hundred thirty-two thousand, seven hundred sixty-eight".