82708289664 has 768 divisors, whose sum is σ = 307281838080. Its totient is φ = 19160064000.

The previous prime is 82708289659. The next prime is 82708289683. The reversal of 82708289664 is 46698280728.

It is a super-2 number, since 2×82708289664² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82708289598 and 82708289607.

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 95 ways as a sum of consecutive naturals, for example, 131074629 + ... + 131075259.

It is an arithmetic number, because the mean of its divisors is an integer number (400106560).

Almost surely, 2^82708289664 is an apocalyptic number.

82708289664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82708289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153640919040).

82708289664 is an abundant number, since it is smaller than the sum of its proper divisors (224573548416).

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

82708289664 is a wasteful number, since it uses less digits than its factorization.

82708289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 82708289664 in words is "eighty-two billion, seven hundred eight million, two hundred eighty-nine thousand, six hundred sixty-four".