9663607800 has 960 divisors, whose sum is σ = 42865827840. Its totient is φ = 1959552000.

The previous prime is 9663607787. The next prime is 9663607801. The reversal of 9663607800 is 87063669.

9663607800 is a `hidden beast` number, since 9 + 6 + 636 + 0 + 7 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9663607801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76091337 + ... + 76091463.

It is an arithmetic number, because the mean of its divisors is an integer number (44651904).

Almost surely, 2^9663607800 is an apocalyptic number.

9663607800 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 9663607800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432913920).

9663607800 is an abundant number, since it is smaller than the sum of its proper divisors (33202220040).

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

9663607800 is a wasteful number, since it uses less digits than its factorization.

9663607800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9663607800 is about 98303.6510003571. The cubic root of 9663607800 is about 2130.0007934931. Note that the first 3 decimals are identical.

The spelling of 9663607800 in words is "nine billion, six hundred sixty-three million, six hundred seven thousand, eight hundred".