9330624144 has 80 divisors (see below), whose sum is σ = 26862239040. Its totient is φ = 3100930560.

The previous prime is 9330624103. The next prime is 9330624157. The reversal of 9330624144 is 4414260339.

It is a happy number.

It is a super-3 number, since 3×9330624144³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9330624099 and 9330624108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113539 + ... + 177629.

It is an arithmetic number, because the mean of its divisors is an integer number (335777988).

Almost surely, 2^9330624144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9330624144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431119520).

9330624144 is an abundant number, since it is smaller than the sum of its proper divisors (17531614896).

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

9330624144 is a wasteful number, since it uses less digits than its factorization.

9330624144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64445 (or 64433 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 9330624144 is about 96595.1559033889. The cubic root of 9330624144 is about 2105.2494626707.

The spelling of 9330624144 in words is "nine billion, three hundred thirty million, six hundred twenty-four thousand, one hundred forty-four".