9417824640 has 768 divisors, whose sum is σ = 39670525440. Its totient is φ = 2090188800.

The previous prime is 9417824627. The next prime is 9417824641. The reversal of 9417824640 is 464287149.

It is a super-2 number, since 2×9417824640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9417824641) 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, 44634135 + ... + 44634345.

It is an arithmetic number, because the mean of its divisors is an integer number (51654330).

Almost surely, 2^9417824640 is an apocalyptic number.

9417824640 is a gapful number since it is divisible by the number (90) 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 9417824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835262720).

9417824640 is an abundant number, since it is smaller than the sum of its proper divisors (30252700800).

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

9417824640 is a wasteful number, since it uses less digits than its factorization.

9417824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9417824640 is about 97045.4771743640. The cubic root of 9417824640 is about 2111.7874269523.

The spelling of 9417824640 in words is "nine billion, four hundred seventeen million, eight hundred twenty-four thousand, six hundred forty".