6832095120 has 160 divisors (see below), whose sum is σ = 23564563200. Its totient is φ = 1819431936.

The previous prime is 6832095089. The next prime is 6832095139. The reversal of 6832095120 is 215902386.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2056821 + ... + 2060139.

It is an arithmetic number, because the mean of its divisors is an integer number (147278520).

Almost surely, 2^6832095120 is an apocalyptic number.

6832095120 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 6832095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782281600).

6832095120 is an abundant number, since it is smaller than the sum of its proper divisors (16732468080).

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

6832095120 is a wasteful number, since it uses less digits than its factorization.

6832095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6832095120 is about 82656.4886745136. The cubic root of 6832095120 is about 1897.5124528546.

The spelling of 6832095120 in words is "six billion, eight hundred thirty-two million, ninety-five thousand, one hundred twenty".