6832829172 has 96 divisors (see below), whose sum is σ = 18493995520. Its totient is φ = 1945399680.

The previous prime is 6832829161. The next prime is 6832829207. The reversal of 6832829172 is 2719282386.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100647 + ... + 154257.

Almost surely, 2^6832829172 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 6832829172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246997760).

6832829172 is an abundant number, since it is smaller than the sum of its proper divisors (11661166348).

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

6832829172 is a wasteful number, since it uses less digits than its factorization.

6832829172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53693 (or 53691 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6832829172 is about 82660.9289325979. The cubic root of 6832829172 is about 1897.5804077501.

The spelling of 6832829172 in words is "six billion, eight hundred thirty-two million, eight hundred twenty-nine thousand, one hundred seventy-two".