82640371956 has 48 divisors (see below), whose sum is σ = 198350096448. Its totient is φ = 26768736000.

The previous prime is 82640371901. The next prime is 82640371969. The reversal of 82640371956 is 65917304628.

It is a junction number, because it is equal to n+sod(n) for n = 82640371899 and 82640371908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619345 + ... + 740856.

It is an arithmetic number, because the mean of its divisors is an integer number (4132293676).

It is a 2-persistent number, because it is pandigital, and so is 2⋅82640371956 = 165280743912, but 3⋅82640371956 = 247921115868 is not.

Almost surely, 2^82640371956 is an apocalyptic number.

82640371956 is the 181814-th centered pentagonal number.

It is an amenable number.

82640371956 is an abundant number, since it is smaller than the sum of its proper divisors (115709724492).

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

82640371956 is a wasteful number, since it uses less digits than its factorization.

82640371956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360352 (or 1360350 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82640371956 in words is "eighty-two billion, six hundred forty million, three hundred seventy-one thousand, nine hundred fifty-six".