82847696832 has 168 divisors, whose sum is σ = 251992156416. Its totient is φ = 26973451008.

The previous prime is 82847696801. The next prime is 82847696873. The reversal of 82847696832 is 23869674828.

82847696832 is a `hidden beast` number, since 82 + 8 + 476 + 9 + 6 + 83 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82847696832.

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, 606793 + ... + 730679.

It is an arithmetic number, because the mean of its divisors is an integer number (1499953312).

Almost surely, 2^82847696832 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 82847696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125996078208).

82847696832 is an abundant number, since it is smaller than the sum of its proper divisors (169144459584).

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

82847696832 is a wasteful number, since it uses less digits than its factorization.

82847696832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123957 (or 123935 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 82847696832 in words is "eighty-two billion, eight hundred forty-seven million, six hundred ninety-six thousand, eight hundred thirty-two".