82691728704 has 168 divisors, whose sum is σ = 258330569952. Its totient is φ = 25136870400.

The previous prime is 82691728663. The next prime is 82691728723. The reversal of 82691728704 is 40782719628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554979 + ... + 688029.

It is an arithmetic number, because the mean of its divisors is an integer number (1537681964).

Almost surely, 2^82691728704 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 82691728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129165284976).

82691728704 is an abundant number, since it is smaller than the sum of its proper divisors (175638841248).

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

82691728704 is a wasteful number, since it uses less digits than its factorization.

82691728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133165 (or 133152 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82691728704 in words is "eighty-two billion, six hundred ninety-one million, seven hundred twenty-eight thousand, seven hundred four".