10663732800 has 1008 divisors, whose sum is σ = 47168409600. Its totient is φ = 2275983360.

The previous prime is 10663732771. The next prime is 10663732819. The reversal of 10663732800 is 823736601.

It is a happy number.

10663732800 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 373 + 280 + 0 = 666.

10663732800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10663732800² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83966337 + ... + 83966463.

Almost surely, 2^10663732800 is an apocalyptic number.

10663732800 is a gapful number since it is divisible by the number (10) 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 10663732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584204800).

10663732800 is an abundant number, since it is smaller than the sum of its proper divisors (36504676800).

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

10663732800 is a wasteful number, since it uses less digits than its factorization.

10663732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10663732800 in words is "ten billion, six hundred sixty-three million, seven hundred thirty-two thousand, eight hundred".