6881873768 has 384 divisors, whose sum is σ = 18673459200. Its totient is φ = 2303078400.

The previous prime is 6881873767. The next prime is 6881873771. The reversal of 6881873768 is 8673781886.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 6881873768.

It is not an unprimeable number, because it can be changed into a prime (6881873767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160043555 + ... + 160043597.

It is an arithmetic number, because the mean of its divisors is an integer number (48628800).

Almost surely, 2^6881873768 is an apocalyptic number.

6881873768 is a gapful number since it is divisible by the number (68) 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 6881873768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336729600).

6881873768 is an abundant number, since it is smaller than the sum of its proper divisors (11791585432).

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

6881873768 is a wasteful number, since it uses less digits than its factorization.

6881873768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 62.

The square root of 6881873768 is about 82957.0597839629. The cubic root of 6881873768 is about 1902.1097311271.

The spelling of 6881873768 in words is "six billion, eight hundred eighty-one million, eight hundred seventy-three thousand, seven hundred sixty-eight".