10066636800 has 624 divisors, whose sum is σ = 40464850560. Its totient is φ = 2433024000.

The previous prime is 10066636793. The next prime is 10066636859. The reversal of 10066636800 is 863666001.

It is a super-2 number, since 2×10066636800² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30412635 + ... + 30412965.

Almost surely, 2^10066636800 is an apocalyptic number.

10066636800 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 10066636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232425280).

10066636800 is an abundant number, since it is smaller than the sum of its proper divisors (30398213760).

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

10066636800 is a wasteful number, since it uses less digits than its factorization.

10066636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10066636800 in words is "ten billion, sixty-six million, six hundred thirty-six thousand, eight hundred".