10663718400 has 180 divisors, whose sum is σ = 38162916792. Its totient is φ = 2843627520.

The previous prime is 10663718399. The next prime is 10663718447. The reversal of 10663718400 is 481736601.

10663718400 is a `hidden beast` number, since 1 + 0 + 6 + 637 + 18 + 4 + 0 + 0 = 666.

10663718400 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 (180).

It is a super-2 number, since 2×10663718400² (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 a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 68917 + ... + 161483.

Almost surely, 2^10663718400 is an apocalyptic number.

10663718400 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 10663718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081458396).

10663718400 is an abundant number, since it is smaller than the sum of its proper divisors (27499198392).

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

10663718400 is an equidigital number, since it uses as much as digits as its factorization.

10663718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92601 (or 92577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10663718400 in words is "ten billion, six hundred sixty-three million, seven hundred eighteen thousand, four hundred".