9408960000 has 900 divisors, whose sum is σ = 38679396756. Its totient is φ = 2280960000.

The previous prime is 9408959993. The next prime is 9408960007. The reversal of 9408960000 is 698049.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9408960000 is a `hidden beast` number, since 9 + 40 + 8 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9408959993) and next prime (9408960007).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408960007) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 855359995 + ... + 855360005.

Almost surely, 2^9408960000 is an apocalyptic number.

9408960000 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 9408960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339698378).

9408960000 is an abundant number, since it is smaller than the sum of its proper divisors (29270436756).

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

9408960000 is an frugal number, since it uses more digits than its factorization.

9408960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9408960000 is about 96999.7938142139. The cubic root of 9408960000 is about 2111.1246372376.

The spelling of 9408960000 in words is "nine billion, four hundred eight million, nine hundred sixty thousand".