6317095680 has 972 divisors, whose sum is σ = 27699077952. Its totient is φ = 1323786240.

The previous prime is 6317095679. The next prime is 6317095691. The reversal of 6317095680 is 865907136.

It is a happy number.

6317095680 is a `hidden beast` number, since 631 + 7 + 0 + 9 + 5 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 203777265 + ... + 203777295.

Almost surely, 2^6317095680 is an apocalyptic number.

6317095680 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 6317095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849538976).

6317095680 is an abundant number, since it is smaller than the sum of its proper divisors (21381982272).

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

6317095680 is a wasteful number, since it uses less digits than its factorization.

6317095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6317095680 is about 79480.1590335601. The cubic root of 6317095680 is about 1848.5838375677.

The spelling of 6317095680 in words is "six billion, three hundred seventeen million, ninety-five thousand, six hundred eighty".