6859811840 has 264 divisors, whose sum is σ = 19686080880. Its totient is φ = 2285273088.

The previous prime is 6859811839. The next prime is 6859811857. The reversal of 6859811840 is 481189586.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9282191 + ... + 9282929.

Almost surely, 2^6859811840 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 6859811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843040440).

6859811840 is an abundant number, since it is smaller than the sum of its proper divisors (12826269040).

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

6859811840 is a wasteful number, since it uses less digits than its factorization.

6859811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The square root of 6859811840 is about 82823.9810682872. The cubic root of 6859811840 is about 1900.0749591849.

The spelling of 6859811840 in words is "six billion, eight hundred fifty-nine million, eight hundred eleven thousand, eight hundred forty".