8609417712 has 480 divisors, whose sum is σ = 31717969920. Its totient is φ = 2120048640.

The previous prime is 8609417711. The next prime is 8609417737. The reversal of 8609417712 is 2177149068.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8609417711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10092678 + ... + 10093530.

It is an arithmetic number, because the mean of its divisors is an integer number (66079104).

Almost surely, 2^8609417712 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 8609417712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858984960).

8609417712 is an abundant number, since it is smaller than the sum of its proper divisors (23108552208).

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

8609417712 is a wasteful number, since it uses less digits than its factorization.

8609417712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8609417712 is about 92786.9479614455. The cubic root of 8609417712 is about 2049.5472100914.

The spelling of 8609417712 in words is "eight billion, six hundred nine million, four hundred seventeen thousand, seven hundred twelve".