8864742432 has 192 divisors, whose sum is σ = 29885829120. Its totient is φ = 2236253184.

The previous prime is 8864742401. The next prime is 8864742433. The reversal of 8864742432 is 2342474688.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8864742433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178869 + ... + 222987.

It is an arithmetic number, because the mean of its divisors is an integer number (155655360).

Almost surely, 2^8864742432 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 8864742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942914560).

8864742432 is an abundant number, since it is smaller than the sum of its proper divisors (21021086688).

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

8864742432 is a wasteful number, since it uses less digits than its factorization.

8864742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44175 (or 44167 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 8864742432 is about 94152.7611491028. The cubic root of 8864742432 is about 2069.6109198945.

The spelling of 8864742432 in words is "eight billion, eight hundred sixty-four million, seven hundred forty-two thousand, four hundred thirty-two".