6839456832 has 224 divisors, whose sum is σ = 21757599360. Its totient is φ = 2094336000.

The previous prime is 6839456803. The next prime is 6839456839. The reversal of 6839456832 is 2386549386.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6839456839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5637858 + ... + 5639070.

It is an arithmetic number, because the mean of its divisors is an integer number (97132140).

Almost surely, 2^6839456832 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 6839456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878799680).

6839456832 is an abundant number, since it is smaller than the sum of its proper divisors (14918142528).

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

6839456832 is a wasteful number, since it uses less digits than its factorization.

6839456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6839456832 is about 82701.0086516483. The cubic root of 6839456832 is about 1898.1937434243.

The spelling of 6839456832 in words is "six billion, eight hundred thirty-nine million, four hundred fifty-six thousand, eight hundred thirty-two".