832317880032 has 576 divisors, whose sum is σ = 2663172255744. Its totient is φ = 245357199360.

The previous prime is 832317880003. The next prime is 832317880057. The reversal of 832317880032 is 230088713238.

It is a self number, because there is not a number n which added to its sum of digits gives 832317880032.

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 95 ways as a sum of consecutive naturals, for example, 860721213 + ... + 860722179.

It is an arithmetic number, because the mean of its divisors is an integer number (4623562944).

Almost surely, 2^832317880032 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 832317880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331586127872).

832317880032 is an abundant number, since it is smaller than the sum of its proper divisors (1830854375712).

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

832317880032 is a wasteful number, since it uses less digits than its factorization.

832317880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 832317880032 in words is "eight hundred thirty-two billion, three hundred seventeen million, eight hundred eighty thousand, thirty-two".