6867560114688 has 640 divisors, whose sum is σ = 24467713966080. Its totient is φ = 1660525608960.

The previous prime is 6867560114683. The next prime is 6867560114693. The reversal of 6867560114688 is 8864110657686.

It is an interprime number because it is at equal distance from previous prime (6867560114683) and next prime (6867560114693).

It is not an unprimeable number, because it can be changed into a prime (6867560114683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82286356 + ... + 82369772.

It is an arithmetic number, because the mean of its divisors is an integer number (38230803072).

Almost surely, 2^{6867560114688} 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 6867560114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233856983040).

6867560114688 is an abundant number, since it is smaller than the sum of its proper divisors (17600153851392).

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

6867560114688 is a wasteful number, since it uses less digits than its factorization.

6867560114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83508 (or 83492 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 6867560114688 in words is "six trillion, eight hundred sixty-seven billion, five hundred sixty million, one hundred fourteen thousand, six hundred eighty-eight".