82641972804 has 48 divisors (see below), whose sum is σ = 203014015680. Its totient is φ = 26093128320.

The previous prime is 82641972799. The next prime is 82641972839. The reversal of 82641972804 is 40827914628.

It is a super-3 number, since 3×82641972804³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519342 + ... + 1572794.

It is an arithmetic number, because the mean of its divisors is an integer number (4229458660).

Almost surely, 2^82641972804 is an apocalyptic number.

It is an amenable number.

82641972804 is an abundant number, since it is smaller than the sum of its proper divisors (120372042876).

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

82641972804 is a wasteful number, since it uses less digits than its factorization.

82641972804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60260 (or 60258 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 82641972804 in words is "eighty-two billion, six hundred forty-one million, nine hundred seventy-two thousand, eight hundred four".