82322643840 has 128 divisors (see below), whose sum is σ = 269495644320. Its totient is φ = 21359370240.

The previous prime is 82322643829. The next prime is 82322643841. The reversal of 82322643840 is 4834622328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 82322643792 and 82322643801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82322643841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508371 + ... + 650450.

Almost surely, 2^82322643840 is an apocalyptic number.

82322643840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82322643840 is an abundant number, since it is smaller than the sum of its proper divisors (187173000480).

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

82322643840 is a wasteful number, since it uses less digits than its factorization.

82322643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158880 (or 1158868 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 82322643840 in words is "eighty-two billion, three hundred twenty-two million, six hundred forty-three thousand, eight hundred forty".