82698568704 has 528 divisors, whose sum is σ = 259655235840. Its totient is φ = 26266705920.

The previous prime is 82698568697. The next prime is 82698568717. The reversal of 82698568704 is 40786589628.

82698568704 is a `hidden beast` number, since 8 + 2 + 69 + 8 + 568 + 7 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631286719 + ... + 631286849.

It is an arithmetic number, because the mean of its divisors is an integer number (491771280).

Almost surely, 2^82698568704 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 82698568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129827617920).

82698568704 is an abundant number, since it is smaller than the sum of its proper divisors (176956667136).

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

82698568704 is a wasteful number, since it uses less digits than its factorization.

82698568704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 82698568704 in words is "eighty-two billion, six hundred ninety-eight million, five hundred sixty-eight thousand, seven hundred four".