82945843680 has 432 divisors, whose sum is σ = 320808736080. Its totient is φ = 17959366656.

The previous prime is 82945843627. The next prime is 82945843693. The reversal of 82945843680 is 8634854928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 82945843680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8485836 + ... + 8495604.

It is an arithmetic number, because the mean of its divisors is an integer number (742612815).

Almost surely, 2^82945843680 is an apocalyptic number.

82945843680 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 82945843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160404368040).

82945843680 is an abundant number, since it is smaller than the sum of its proper divisors (237862892400).

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

82945843680 is a wasteful number, since it uses less digits than its factorization.

82945843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 82945843680 in words is "eighty-two billion, nine hundred forty-five million, eight hundred forty-three thousand, six hundred eighty".