6847345120 has 192 divisors, whose sum is σ = 20357568000. Its totient is φ = 2114242560.

The previous prime is 6847345093. The next prime is 6847345133. The reversal of 6847345120 is 215437486.

It is a super-2 number, since 2×6847345120² = 93772270384775628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340331 + ... + 1345429.

It is an arithmetic number, because the mean of its divisors is an integer number (106029000).

Almost surely, 2^6847345120 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 6847345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178784000).

6847345120 is an abundant number, since it is smaller than the sum of its proper divisors (13510222880).

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

6847345120 is a wasteful number, since it uses less digits than its factorization.

6847345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 6847345120 is about 82748.6865152553. The cubic root of 6847345120 is about 1898.9232236749.

The spelling of 6847345120 in words is "six billion, eight hundred forty-seven million, three hundred forty-five thousand, one hundred twenty".