832381792704 has 672 divisors, whose sum is σ = 3066509601792. Its totient is φ = 209590272000.

The previous prime is 832381792667. The next prime is 832381792709. The reversal of 832381792704 is 407297183238.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832381792709) by changing a digit.

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, 303676774 + ... + 303679514.

It is an arithmetic number, because the mean of its divisors is an integer number (4563258336).

Almost surely, 2^832381792704 is an apocalyptic number.

832381792704 is a gapful number since it is divisible by the number (84) 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 832381792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533254800896).

832381792704 is an abundant number, since it is smaller than the sum of its proper divisors (2234127809088).

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

832381792704 is a wasteful number, since it uses less digits than its factorization.

832381792704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 832381792704 in words is "eight hundred thirty-two billion, three hundred eighty-one million, seven hundred ninety-two thousand, seven hundred four".