6859000000 has 196 divisors, whose sum is σ = 17958363880. Its totient is φ = 2599200000.

The previous prime is 6858999937. The next prime is 6859000033. The reversal of 6859000000 is 9586.

The cubic root of 6859000000 is 1900.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-3 number, since 3×6859000000³ (a number of 30 digits) contains 333 as substring.

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 27 ways as a sum of consecutive naturals, for example, 360999991 + ... + 361000009.

Almost surely, 2^6859000000 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 6859000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979181940).

6859000000 is an abundant number, since it is smaller than the sum of its proper divisors (11099363880).

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

6859000000 is an frugal number, since it uses more digits than its factorization.

6859000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 6859000000 is about 82819.0799272728.

Adding to 6859000000 its reverse (9586), we get a palindrome (6859009586).

The spelling of 6859000000 in words is "six billion, eight hundred fifty-nine million", and thus it is an aban number.