10033630656 has 448 divisors, whose sum is σ = 35025177600. Its totient is φ = 2464874496.

The previous prime is 10033630619. The next prime is 10033630679. The reversal of 10033630656 is 65603633001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12588850 + ... + 12589646.

It is an arithmetic number, because the mean of its divisors is an integer number (78181200).

Almost surely, 2^10033630656 is an apocalyptic number.

10033630656 is a gapful number since it is divisible by the number (16) 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 10033630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512588800).

10033630656 is an abundant number, since it is smaller than the sum of its proper divisors (24991546944).

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

10033630656 is a wasteful number, since it uses less digits than its factorization.

10033630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The spelling of 10033630656 in words is "ten billion, thirty-three million, six hundred thirty thousand, six hundred fifty-six".