6839840000 has 360 divisors, whose sum is σ = 20229124608. Its totient is φ = 2257920000.

The previous prime is 6839839991. The next prime is 6839840003. The reversal of 6839840000 is 489386.

It is a super-2 number, since 2×6839840000² = 93566822451200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6839840003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34719902 + ... + 34720098.

Almost surely, 2^6839840000 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 6839840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114562304).

6839840000 is an abundant number, since it is smaller than the sum of its proper divisors (13389284608).

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

6839840000 is an equidigital number, since it uses as much as digits as its factorization.

6839840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 6839840000 is about 82703.3252052177. The cubic root of 6839840000 is about 1898.2291903677.

The spelling of 6839840000 in words is "six billion, eight hundred thirty-nine million, eight hundred forty thousand".