6880927968 has 144 divisors (see below), whose sum is σ = 20335638960. Its totient is φ = 2288756736.

The previous prime is 6880927967. The next prime is 6880927969. The reversal of 6880927968 is 8697290886.

It is an interprime number because it is at equal distance from previous prime (6880927967) and next prime (6880927969).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880927961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6819048 + ... + 6820056.

It is an arithmetic number, because the mean of its divisors is an integer number (141219715).

Almost surely, 2^6880927968 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 6880927968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167819480).

6880927968 is an abundant number, since it is smaller than the sum of its proper divisors (13454710992).

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

6880927968 is a wasteful number, since it uses less digits than its factorization.

6880927968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 6880927968 is about 82951.3590485412. The cubic root of 6880927968 is about 1902.0225892689.

The spelling of 6880927968 in words is "six billion, eight hundred eighty million, nine hundred twenty-seven thousand, nine hundred sixty-eight".