82633705672 has 32 divisors (see below), whose sum is σ = 187488241920. Its totient is φ = 33331242240.

The previous prime is 82633705669. The next prime is 82633705673. The reversal of 82633705672 is 27650733628.

It is not an unprimeable number, because it can be changed into a prime (82633705673) 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, 43399104 + ... + 43401007.

It is an arithmetic number, because the mean of its divisors is an integer number (5859007560).

Almost surely, 2^82633705672 is an apocalyptic number.

It is an amenable number.

82633705672 is an abundant number, since it is smaller than the sum of its proper divisors (104854536248).

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

82633705672 is a wasteful number, since it uses less digits than its factorization.

82633705672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86800141 (or 86800137 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 82633705672 in words is "eighty-two billion, six hundred thirty-three million, seven hundred five thousand, six hundred seventy-two".