6839004856320 has 1920 divisors, whose sum is σ = 30753732655800. Its totient is φ = 1441171243008.

The previous prime is 6839004856319. The next prime is 6839004856351. The reversal of 6839004856320 is 236584009386.

6839004856320 is a `hidden beast` number, since 6 + 8 + 39 + 0 + 0 + 48 + 563 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5582597013504 + 1256407842816 = 2362752^2 + 1120896^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8453652076 + ... + 8453652884.

Almost surely, 2^{6839004856320} is an apocalyptic number.

6839004856320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6839004856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376866327900).

6839004856320 is an abundant number, since it is smaller than the sum of its proper divisors (23914727799480).

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

6839004856320 is an equidigital number, since it uses as much as digits as its factorization.

6839004856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 839 counting only the distinct ones).

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

The spelling of 6839004856320 in words is "six trillion, eight hundred thirty-nine billion, four million, eight hundred fifty-six thousand, three hundred twenty".