82712393568 has 864 divisors, whose sum is σ = 308090563200. Its totient is φ = 21463626240.

The previous prime is 82712393557. The next prime is 82712393581. The reversal of 82712393568 is 86539321728.

82712393568 is a `hidden beast` number, since 8 + 2 + 71 + 2 + 3 + 9 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773012971 + ... + 773013077.

It is an arithmetic number, because the mean of its divisors is an integer number (356586300).

Almost surely, 2^82712393568 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 82712393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154045281600).

82712393568 is an abundant number, since it is smaller than the sum of its proper divisors (225378169632).

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

82712393568 is a wasteful number, since it uses less digits than its factorization.

82712393568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 169 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 82712393568 in words is "eighty-two billion, seven hundred twelve million, three hundred ninety-three thousand, five hundred sixty-eight".