82742368968 has 112 divisors (see below), whose sum is σ = 265836137280. Its totient is φ = 23640665184.

The previous prime is 82742368967. The next prime is 82742368979. The reversal of 82742368968 is 86986324728.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82742368967) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 972580 + ... + 1054227.

It is an arithmetic number, because the mean of its divisors is an integer number (2373536940).

Almost surely, 2^82742368968 is an apocalyptic number.

It is an amenable number.

82742368968 is an abundant number, since it is smaller than the sum of its proper divisors (183093768312).

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

82742368968 is a wasteful number, since it uses less digits than its factorization.

82742368968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026838 (or 2026819 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 82742368968 in words is "eighty-two billion, seven hundred forty-two million, three hundred sixty-eight thousand, nine hundred sixty-eight".