9624289920 has 192 divisors, whose sum is σ = 35686332000. Its totient is φ = 2199816192.

The previous prime is 9624289879. The next prime is 9624289949. The reversal of 9624289920 is 299824269.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42931 + ... + 145229.

Almost surely, 2^9624289920 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 9624289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843166000).

9624289920 is an abundant number, since it is smaller than the sum of its proper divisors (26062042080).

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

9624289920 is a wasteful number, since it uses less digits than its factorization.

9624289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102335 (or 102316 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 9624289920 is about 98103.4653822178. The cubic root of 9624289920 is about 2127.1081211731.

The spelling of 9624289920 in words is "nine billion, six hundred twenty-four million, two hundred eighty-nine thousand, nine hundred twenty".