8417840640 has 160 divisors (see below), whose sum is σ = 29357513856. Its totient is φ = 2040668160.

The previous prime is 8417840623. The next prime is 8417840647. The reversal of 8417840640 is 460487148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 8417840592 and 8417840601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8417840647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34659 + ... + 134301.

Almost surely, 2^8417840640 is an apocalyptic number.

8417840640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8417840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678756928).

8417840640 is an abundant number, since it is smaller than the sum of its proper divisors (20939673216).

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

8417840640 is a wasteful number, since it uses less digits than its factorization.

8417840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99680 (or 99664 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8417840640 is about 91748.7909457122. The cubic root of 8417840640 is about 2034.2308357756.

The spelling of 8417840640 in words is "eight billion, four hundred seventeen million, eight hundred forty thousand, six hundred forty".