82784330568 has 96 divisors (see below), whose sum is σ = 237490938360. Its totient is φ = 25961195520.

The previous prime is 82784330567. The next prime is 82784330591. The reversal of 82784330568 is 86503348728.

82784330568 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 43 + 30 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82781647524 + 2683044 = 287718^2 + 1638^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82784330567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3411438 + ... + 3435618.

Almost surely, 2^82784330568 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 82784330568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118745469180).

82784330568 is an abundant number, since it is smaller than the sum of its proper divisors (154706607792).

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

82784330568 is a wasteful number, since it uses less digits than its factorization.

82784330568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27007 (or 27000 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82784330568 in words is "eighty-two billion, seven hundred eighty-four million, three hundred thirty thousand, five hundred sixty-eight".