6860117328768 has 1280 divisors, whose sum is σ = 23996686855680. Its totient is φ = 1924521984000.

The previous prime is 6860117328739. The next prime is 6860117328821. The reversal of 6860117328768 is 8678237110686.

6860117328768 is a `hidden beast` number, since 6 + 8 + 601 + 17 + 3 + 2 + 8 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×6860117328768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24413228788 + ... + 24413229068.

It is an arithmetic number, because the mean of its divisors is an integer number (18747411606).

Almost surely, 2^{6860117328768} 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 6860117328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998343427840).

6860117328768 is an abundant number, since it is smaller than the sum of its proper divisors (17136569526912).

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

6860117328768 is a wasteful number, since it uses less digits than its factorization.

6860117328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 6860117328768 in words is "six trillion, eight hundred sixty billion, one hundred seventeen million, three hundred twenty-eight thousand, seven hundred sixty-eight".