633668000010 has 128 divisors (see below), whose sum is σ = 1599133536000. Its totient is φ = 160488179712.

The previous prime is 633667999969. The next prime is 633668000023. The reversal of 633668000010 is 10000866336.

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 63 ways as a sum of consecutive naturals, for example, 13157334 + ... + 13205406.

It is an arithmetic number, because the mean of its divisors is an integer number (12493230750).

Almost surely, 2^633668000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633668000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799566768000).

633668000010 is an abundant number, since it is smaller than the sum of its proper divisors (965465535990).

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

633668000010 is a wasteful number, since it uses less digits than its factorization.

633668000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48360.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 633668000010 its reverse (10000866336), we get a palindrome (643668866346).

The spelling of 633668000010 in words is "six hundred thirty-three billion, six hundred sixty-eight million, ten", and thus it is an aban number.