8273723584 has 112 divisors (see below), whose sum is σ = 20172395520. Its totient is φ = 3287623680.

The previous prime is 8273723581. The next prime is 8273723621. The reversal of 8273723584 is 4853273728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (8273723581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389724 + ... + 410404.

Almost surely, 2^8273723584 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 8273723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086197760).

8273723584 is an abundant number, since it is smaller than the sum of its proper divisors (11898671936).

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

8273723584 is a wasteful number, since it uses less digits than its factorization.

8273723584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20766 (or 20756 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

The square root of 8273723584 is about 90960.0109058920. The cubic root of 8273723584 is about 2022.5549789352.

The spelling of 8273723584 in words is "eight billion, two hundred seventy-three million, seven hundred twenty-three thousand, five hundred eighty-four".