832749712704 has 1792 divisors, whose sum is σ = 3320905728000. Its totient is φ = 202790117376.

The previous prime is 832749712679. The next prime is 832749712777. The reversal of 832749712704 is 407217947238.

832749712704 is a `hidden beast` number, since 8 + 3 + 27 + 497 + 127 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6557084289 + ... + 6557084415.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184000).

Almost surely, 2^832749712704 is an apocalyptic number.

832749712704 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 832749712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660452864000).

832749712704 is an abundant number, since it is smaller than the sum of its proper divisors (2488156015296).

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

832749712704 is a wasteful number, since it uses less digits than its factorization.

832749712704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 832749712704 in words is "eight hundred thirty-two billion, seven hundred forty-nine million, seven hundred twelve thousand, seven hundred four".