82633705668 has 18 divisors (see below), whose sum is σ = 208879644974. Its totient is φ = 27544568544.

The previous prime is 82633705549. The next prime is 82633705669. The reversal of 82633705668 is 86650733628.

82633705668 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 3 + 70 + 566 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63343829124 + 19289876544 = 251682^2 + 138888^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (82633705669) 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 5 ways as a sum of consecutive naturals, for example, 1147690321 + ... + 1147690392.

Almost surely, 2^82633705668 is an apocalyptic number.

It is an amenable number.

82633705668 is an abundant number, since it is smaller than the sum of its proper divisors (126245939306).

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

82633705668 is a wasteful number, since it uses less digits than its factorization.

82633705668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295380723 (or 2295380718 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 82633705668 in words is "eighty-two billion, six hundred thirty-three million, seven hundred five thousand, six hundred sixty-eight".