10036633663000 has 512 divisors, whose sum is σ = 29092641177600. Its totient is φ = 3164023296000.

The previous prime is 10036633662983. The next prime is 10036633663003. The reversal of 10036633663000 is 36633663001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10036633663003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1074236329 + ... + 1074245671.

It is an arithmetic number, because the mean of its divisors is an integer number (56821564800).

Almost surely, 2^{10036633663000} is an apocalyptic number.

10036633663000 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 10036633663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14546320588800).

10036633663000 is an abundant number, since it is smaller than the sum of its proper divisors (19056007514600).

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

10036633663000 is a wasteful number, since it uses less digits than its factorization.

10036633663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 9614 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 37.

Subtracting from 10036633663000 its reverse (36633663001), we obtain a palindrome (9999999999999).

The spelling of 10036633663000 in words is "ten trillion, thirty-six billion, six hundred thirty-three million, six hundred sixty-three thousand".