6832068672 has 448 divisors, whose sum is σ = 22940467200. Its totient is φ = 1763942400.

The previous prime is 6832068671. The next prime is 6832068679. The reversal of 6832068672 is 2768602386.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6832068671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19575954 + ... + 19576302.

It is an arithmetic number, because the mean of its divisors is an integer number (51206400).

Almost surely, 2^6832068672 is an apocalyptic number.

6832068672 is a gapful number since it is divisible by the number (62) 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 6832068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470233600).

6832068672 is an abundant number, since it is smaller than the sum of its proper divisors (16108398528).

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

6832068672 is a wasteful number, since it uses less digits than its factorization.

6832068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 6832068672 is about 82656.3286869191. The cubic root of 6832068672 is about 1897.5100043390.

The spelling of 6832068672 in words is "six billion, eight hundred thirty-two million, sixty-eight thousand, six hundred seventy-two".