9600940800 has 432 divisors, whose sum is σ = 38413791360. Its totient is φ = 2327040000.

The previous prime is 9600940763. The next prime is 9600940813. The reversal of 9600940800 is 80490069.

9600940800 is a `hidden beast` number, since 9 + 600 + 9 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 1898275 + ... + 1903325.

Almost surely, 2^9600940800 is an apocalyptic number.

9600940800 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 9600940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206895680).

9600940800 is an abundant number, since it is smaller than the sum of its proper divisors (28812850560).

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

9600940800 is a wasteful number, since it uses less digits than its factorization.

9600940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5072 counting only the distinct ones).

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

The square root of 9600940800 is about 97984.3905936042. The cubic root of 9600940800 is about 2125.3865631239.

The spelling of 9600940800 in words is "nine billion, six hundred million, nine hundred forty thousand, eight hundred".