8733579408 has 120 divisors (see below), whose sum is σ = 26165158656. Its totient is φ = 2817244800.

The previous prime is 8733579403. The next prime is 8733579427. The reversal of 8733579408 is 8049753378.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8733579403) 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 23 ways as a sum of consecutive naturals, for example, 84298 + ... + 156758.

Almost surely, 2^8733579408 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 8733579408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082579328).

8733579408 is an abundant number, since it is smaller than the sum of its proper divisors (17431579248).

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

8733579408 is a wasteful number, since it uses less digits than its factorization.

8733579408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72515 (or 72497 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 8733579408 is about 93453.6216954699. The cubic root of 8733579408 is about 2059.3528152032.

The spelling of 8733579408 in words is "eight billion, seven hundred thirty-three million, five hundred seventy-nine thousand, four hundred eight".