82369578564 has 144 divisors (see below), whose sum is σ = 264276243840. Its totient is φ = 21723811200.

The previous prime is 82369578553. The next prime is 82369578581. The reversal of 82369578564 is 46587596328.

It is a happy number.

82369578564 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 9 + 578 + 56 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194587 + ... + 450114.

Almost surely, 2^82369578564 is an apocalyptic number.

82369578564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82369578564 is an abundant number, since it is smaller than the sum of its proper divisors (181906665276).

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

82369578564 is a wasteful number, since it uses less digits than its factorization.

82369578564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644747 (or 644726 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 82369578564 in words is "eighty-two billion, three hundred sixty-nine million, five hundred seventy-eight thousand, five hundred sixty-four".