9339424560 has 480 divisors, whose sum is σ = 34154385408. Its totient is φ = 2281789440.

The previous prime is 9339424541. The next prime is 9339424571. The reversal of 9339424560 is 654249339.

It is a super-2 number, since 2×9339424560² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35510989 + ... + 35511251.

Almost surely, 2^9339424560 is an apocalyptic number.

9339424560 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 9339424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077192704).

9339424560 is an abundant number, since it is smaller than the sum of its proper divisors (24814960848).

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

9339424560 is a wasteful number, since it uses less digits than its factorization.

9339424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 9339424560 is about 96640.6982590668. The cubic root of 9339424560 is about 2105.9111279234.

The spelling of 9339424560 in words is "nine billion, three hundred thirty-nine million, four hundred twenty-four thousand, five hundred sixty".