32832782808000 has 2016 divisors, whose sum is σ = 133541808079680. Its totient is φ = 7085722828800.

The previous prime is 32832782807963. The next prime is 32832782808031. The reversal of 32832782808000 is 80828723823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55367255704 + ... + 55367256296.

It is an arithmetic number, because the mean of its divisors is an integer number (66240976230).

Almost surely, 2^{32832782808000} is an apocalyptic number.

32832782808000 is a gapful number since it is divisible by the number (30) 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 32832782808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66770904039840).

32832782808000 is an abundant number, since it is smaller than the sum of its proper divisors (100709025271680).

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

32832782808000 is a wasteful number, since it uses less digits than its factorization.

32832782808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 32832782808000 in words is "thirty-two trillion, eight hundred thirty-two billion, seven hundred eighty-two million, eight hundred eight thousand".