8417745840 has 320 divisors, whose sum is σ = 31703685120. Its totient is φ = 1803632640.

The previous prime is 8417745839. The next prime is 8417745841. The reversal of 8417745840 is 485477148.

It is an interprime number because it is at equal distance from previous prime (8417745839) and next prime (8417745841).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8417745840.

It is not an unprimeable number, because it can be changed into a prime (8417745841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10252630 + ... + 10253450.

It is an arithmetic number, because the mean of its divisors is an integer number (99074016).

Almost surely, 2^8417745840 is an apocalyptic number.

8417745840 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 8417745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851842560).

8417745840 is an abundant number, since it is smaller than the sum of its proper divisors (23285939280).

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

8417745840 is a wasteful number, since it uses less digits than its factorization.

8417745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The square root of 8417745840 is about 91748.2743161963. The cubic root of 8417745840 is about 2034.2231993830.

The spelling of 8417745840 in words is "eight billion, four hundred seventeen million, seven hundred forty-five thousand, eight hundred forty".