83672674584 has 64 divisors (see below), whose sum is σ = 213964416000. Its totient is φ = 27255039744.

The previous prime is 83672674573. The next prime is 83672674597. The reversal of 83672674584 is 48547627638.

It is a happy number.

It is a super-2 number, since 2×83672674584² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 672492 + ... + 787140.

It is an arithmetic number, because the mean of its divisors is an integer number (3343194000).

Almost surely, 2^83672674584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83672674584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106982208000).

83672674584 is an abundant number, since it is smaller than the sum of its proper divisors (130291741416).

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

83672674584 is a wasteful number, since it uses less digits than its factorization.

83672674584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115352 (or 115348 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 60.

The spelling of 83672674584 in words is "eighty-three billion, six hundred seventy-two million, six hundred seventy-four thousand, five hundred eighty-four".