9240480000 has 900 divisors, whose sum is σ = 37086728448. Its totient is φ = 2280960000.

The previous prime is 9240479981. The next prime is 9240480013. The reversal of 9240480000 is 840429.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 99 ways as a sum of consecutive naturals, for example, 298079985 + ... + 298080015.

Almost surely, 2^9240480000 is an apocalyptic number.

9240480000 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 9240480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543364224).

9240480000 is an abundant number, since it is smaller than the sum of its proper divisors (27846248448).

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

9240480000 is an equidigital number, since it uses as much as digits as its factorization.

9240480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9240480000 is about 96127.4154442946. The cubic root of 9240480000 is about 2098.4478326252.

The spelling of 9240480000 in words is "nine billion, two hundred forty million, four hundred eighty thousand".