82636669728 has 36 divisors (see below), whose sum is σ = 234998030358. Its totient is φ = 27545556480.

The previous prime is 82636669721. The next prime is 82636669751. The reversal of 82636669728 is 82796663628.

It can be written as a sum of positive squares in only one way, i.e., 62954824464 + 19681845264 = 250908^2 + 140292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82636669721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143466153 + ... + 143466728.

Almost surely, 2^82636669728 is an apocalyptic number.

It is an amenable number.

82636669728 is an abundant number, since it is smaller than the sum of its proper divisors (152361360630).

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

82636669728 is a wasteful number, since it uses less digits than its factorization.

82636669728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286932897 (or 286932886 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 82636669728 in words is "eighty-two billion, six hundred thirty-six million, six hundred sixty-nine thousand, seven hundred twenty-eight".