6831872768 has 72 divisors (see below), whose sum is σ = 15601377792. Its totient is φ = 2924909568.

The previous prime is 6831872759. The next prime is 6831872771. The reversal of 6831872768 is 8672781386.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2986121 + ... + 2988407.

Almost surely, 2^6831872768 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 6831872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800688896).

6831872768 is an abundant number, since it is smaller than the sum of its proper divisors (8769505024).

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

6831872768 is a wasteful number, since it uses less digits than its factorization.

6831872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3963 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 56.

The square root of 6831872768 is about 82655.1436270000. The cubic root of 6831872768 is about 1897.4918676481.

The spelling of 6831872768 in words is "six billion, eight hundred thirty-one million, eight hundred seventy-two thousand, seven hundred sixty-eight".