82698064680 has 1024 divisors, whose sum is σ = 349111296000. Its totient is φ = 15255060480.

The previous prime is 82698064651. The next prime is 82698064693. The reversal of 82698064680 is 8646089628.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 82698064680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 361126806 + ... + 361127034.

It is an arithmetic number, because the mean of its divisors is an integer number (340929000).

Almost surely, 2^82698064680 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 82698064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174555648000).

82698064680 is an abundant number, since it is smaller than the sum of its proper divisors (266413231320).

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

82698064680 is a wasteful number, since it uses less digits than its factorization.

82698064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 82698064680 in words is "eighty-two billion, six hundred ninety-eight million, sixty-four thousand, six hundred eighty".