6846823120896 has 720 divisors, whose sum is σ = 22347324679680. Its totient is φ = 2001957027840.

The previous prime is 6846823120867. The next prime is 6846823120897. The reversal of 6846823120896 is 6980213286486.

6846823120896 is a `hidden beast` number, since 68 + 468 + 2 + 3 + 1 + 20 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846823120897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6207454681 + ... + 6207455783.

It is an arithmetic number, because the mean of its divisors is an integer number (31037950944).

Almost surely, 2^{6846823120896} is an apocalyptic number.

6846823120896 is a gapful number since it is divisible by the number (66) 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 6846823120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173662339840).

6846823120896 is an abundant number, since it is smaller than the sum of its proper divisors (15500501558784).

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

6846823120896 is a wasteful number, since it uses less digits than its factorization.

6846823120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 6846823120896 in words is "six trillion, eight hundred forty-six billion, eight hundred twenty-three million, one hundred twenty thousand, eight hundred ninety-six".