9601804800 has 960 divisors, whose sum is σ = 41607456000. Its totient is φ = 2194698240.

The previous prime is 9601804781. The next prime is 9601804847. The reversal of 9601804800 is 84081069.

It is a happy number.

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.

9601804800 is a `hidden beast` number, since 9 + 601 + 8 + 0 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371686397 + ... + 1371686403.

It is an arithmetic number, because the mean of its divisors is an integer number (43341100).

Almost surely, 2^9601804800 is an apocalyptic number.

9601804800 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 9601804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803728000).

9601804800 is an abundant number, since it is smaller than the sum of its proper divisors (32005651200).

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

9601804800 is an frugal number, since it uses more digits than its factorization.

9601804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9601804800 is about 97988.7993599268. The cubic root of 9601804800 is about 2125.4503165604.

Adding to 9601804800 its reverse (84081069), we get a palindrome (9685885869).

The spelling of 9601804800 in words is "nine billion, six hundred one million, eight hundred four thousand, eight hundred".