82731564663 has 32 divisors (see below), whose sum is σ = 126692966400. Its totient is φ = 47492892000.

The previous prime is 82731564607. The next prime is 82731564683. The reversal of 82731564663 is 36646513728.

It is not a de Polignac number, because 82731564663 - 2¹³ = 82731556471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82731564683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5730468 + ... + 5744886.

It is an arithmetic number, because the mean of its divisors is an integer number (3959155200).

Almost surely, 2^82731564663 is an apocalyptic number.

82731564663 is a deficient number, since it is larger than the sum of its proper divisors (43961401737).

82731564663 is a wasteful number, since it uses less digits than its factorization.

82731564663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23603.

The product of its digits is 4354560, while the sum is 51.

The spelling of 82731564663 in words is "eighty-two billion, seven hundred thirty-one million, five hundred sixty-four thousand, six hundred sixty-three".