82646345736 has 160 divisors (see below), whose sum is σ = 236871613440. Its totient is φ = 26910185472.

The previous prime is 82646345731. The next prime is 82646345759. The reversal of 82646345736 is 63754364628.

82646345736 is a `hidden beast` number, since 8 + 2 + 6 + 4 + 63 + 4 + 573 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82646345731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17570761 + ... + 17575463.

It is an arithmetic number, because the mean of its divisors is an integer number (1480447584).

Almost surely, 2^82646345736 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 82646345736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118435806720).

82646345736 is an abundant number, since it is smaller than the sum of its proper divisors (154225267704).

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

82646345736 is a wasteful number, since it uses less digits than its factorization.

82646345736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5332 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 82646345736 in words is "eighty-two billion, six hundred forty-six million, three hundred forty-five thousand, seven hundred thirty-six".