9435424320 has 1680 divisors, whose sum is σ = 45407640960. Its totient is φ = 1839366144.

The previous prime is 9435424319. The next prime is 9435424379. The reversal of 9435424320 is 234245349.

9435424320 is a `hidden beast` number, since 94 + 3 + 542 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410235829 + ... + 410235851.

Almost surely, 2^9435424320 is an apocalyptic number.

9435424320 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 9435424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703820480).

9435424320 is an abundant number, since it is smaller than the sum of its proper divisors (35972216640).

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

9435424320 is a wasteful number, since it uses less digits than its factorization.

9435424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 9435424320 is about 97136.1123372765. The cubic root of 9435424320 is about 2113.1020849334.

Adding to 9435424320 its reverse (234245349), we get a palindrome (9669669669).

The spelling of 9435424320 in words is "nine billion, four hundred thirty-five million, four hundred twenty-four thousand, three hundred twenty".