82466644768 has 144 divisors (see below), whose sum is σ = 175014078624. Its totient is φ = 38240501760.

The previous prime is 82466644759. The next prime is 82466644783. The reversal of 82466644768 is 86744666428.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342185128 + ... + 342185368.

It is an arithmetic number, because the mean of its divisors is an integer number (1215375546).

Almost surely, 2^82466644768 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 82466644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507039312).

82466644768 is an abundant number, since it is smaller than the sum of its proper divisors (92547433856).

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

82466644768 is a wasteful number, since it uses less digits than its factorization.

82466644768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 650 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 61.

The spelling of 82466644768 in words is "eighty-two billion, four hundred sixty-six million, six hundred forty-four thousand, seven hundred sixty-eight".