83679270084 has 72 divisors (see below), whose sum is σ = 212378264280. Its totient is φ = 27780480000.

The previous prime is 83679270053. The next prime is 83679270097. The reversal of 83679270084 is 48007297638.

83679270084 is a `hidden beast` number, since 8 + 367 + 9 + 270 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71969865984 + 11709404100 = 268272^2 + 108210^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83679270084.

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 23 ways as a sum of consecutive naturals, for example, 10115502 + ... + 10123770.

It is an arithmetic number, because the mean of its divisors is an integer number (2949698115).

Almost surely, 2^83679270084 is an apocalyptic number.

It is an amenable number.

83679270084 is an abundant number, since it is smaller than the sum of its proper divisors (128698994196).

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

83679270084 is a wasteful number, since it uses less digits than its factorization.

83679270084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 83679270084 in words is "eighty-three billion, six hundred seventy-nine million, two hundred seventy thousand, eighty-four".