6844956160 has 160 divisors (see below), whose sum is σ = 19860603840. Its totient is φ = 2208694272.

The previous prime is 6844956149. The next prime is 6844956199. The reversal of 6844956160 is 616594486.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293406 + ... + 315874.

It is an arithmetic number, because the mean of its divisors is an integer number (124128774).

Almost surely, 2^6844956160 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 6844956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930301920).

6844956160 is an abundant number, since it is smaller than the sum of its proper divisors (13015647680).

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

6844956160 is a wasteful number, since it uses less digits than its factorization.

6844956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22516 (or 22500 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 6844956160 is about 82734.2502232298. The cubic root of 6844956160 is about 1898.7023604927.

It can be divided in two parts, 68449 and 56160, that added together give a square (124609 = 353²).

The spelling of 6844956160 in words is "six billion, eight hundred forty-four million, nine hundred fifty-six thousand, one hundred sixty".