6831765864 has 384 divisors, whose sum is σ = 24076615680. Its totient is φ = 1698278400.

The previous prime is 6831765847. The next prime is 6831765901. The reversal of 6831765864 is 4685671386.

It is a self number, because there is not a number n which added to its sum of digits gives 6831765864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21826572 + ... + 21826884.

It is an arithmetic number, because the mean of its divisors is an integer number (62699520).

Almost surely, 2^6831765864 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 6831765864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038307840).

6831765864 is an abundant number, since it is smaller than the sum of its proper divisors (17244849816).

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

6831765864 is a wasteful number, since it uses less digits than its factorization.

6831765864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6831765864 is about 82654.4969375533. The cubic root of 6831765864 is about 1897.4819703849.

The spelling of 6831765864 in words is "six billion, eight hundred thirty-one million, seven hundred sixty-five thousand, eight hundred sixty-four".