82731818640 has 40 divisors (see below), whose sum is σ = 256468638528. Its totient is φ = 22061818240.

The previous prime is 82731818549. The next prime is 82731818647. The reversal of 82731818640 is 4681813728.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82731818640.

It is not an unprimeable number, because it can be changed into a prime (82731818647) 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 7 ways as a sum of consecutive naturals, for example, 172357716 + ... + 172358195.

Almost surely, 2^82731818640 is an apocalyptic number.

82731818640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82731818640 is an abundant number, since it is smaller than the sum of its proper divisors (173736819888).

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

82731818640 is a wasteful number, since it uses less digits than its factorization.

82731818640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344715927 (or 344715921 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 82731818640 in words is "eighty-two billion, seven hundred thirty-one million, eight hundred eighteen thousand, six hundred forty".