8509842432 has 528 divisors, whose sum is σ = 30877275520. Its totient is φ = 2197684224.

The previous prime is 8509842431. The next prime is 8509842449. The reversal of 8509842432 is 2342489058.

It is not an unprimeable number, because it can be changed into a prime (8509842431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61221819 + ... + 61221957.

Almost surely, 2^8509842432 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 8509842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438637760).

8509842432 is an abundant number, since it is smaller than the sum of its proper divisors (22367433088).

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

8509842432 is a wasteful number, since it uses less digits than its factorization.

8509842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8509842432 is about 92248.8072118008. The cubic root of 8509842432 is about 2041.6149610903.

The spelling of 8509842432 in words is "eight billion, five hundred nine million, eight hundred forty-two thousand, four hundred thirty-two".