84272348180 has 24 divisors (see below), whose sum is σ = 177006974760. Its totient is φ = 33702264320.

The previous prime is 84272348179. The next prime is 84272348183. The reversal of 84272348180 is 8184327248.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4665982864 + 79606365316 = 68308^2 + 282146^2 .

It is a super-3 number, since 3×84272348180³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84272348183) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 313025 + ... + 516264.

It is an arithmetic number, because the mean of its divisors is an integer number (7375290615).

Almost surely, 2^84272348180 is an apocalyptic number.

It is an amenable number.

84272348180 is an abundant number, since it is smaller than the sum of its proper divisors (92734626580).

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

84272348180 is a wasteful number, since it uses less digits than its factorization.

84272348180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834379 (or 834377 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 84272348180 in words is "eighty-four billion, two hundred seventy-two million, three hundred forty-eight thousand, one hundred eighty".