82440895680 has 336 divisors, whose sum is σ = 333137829024. Its totient is φ = 18448220160.

The previous prime is 82440895679. The next prime is 82440895721. The reversal of 82440895680 is 8659804428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311752 + ... + 511928.

It is an arithmetic number, because the mean of its divisors is an integer number (991481634).

Almost surely, 2^82440895680 is an apocalyptic number.

82440895680 is a gapful number since it is divisible by the number (80) 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 82440895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166568914512).

82440895680 is an abundant number, since it is smaller than the sum of its proper divisors (250696933344).

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

82440895680 is a wasteful number, since it uses less digits than its factorization.

82440895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200224 (or 200211 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 82440895680 in words is "eighty-two billion, four hundred forty million, eight hundred ninety-five thousand, six hundred eighty".