633166661336 has 64 divisors (see below), whose sum is σ = 1311055200000. Its totient is φ = 284262249600.

The previous prime is 633166661333. The next prime is 633166661389.

633166661336 is nontrivially palindromic in base 10.

633166661336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633166661333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36504026 + ... + 36521366.

It is an arithmetic number, because the mean of its divisors is an integer number (20485237500).

Almost surely, 2^633166661336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633166661336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655527600000).

633166661336 is an abundant number, since it is smaller than the sum of its proper divisors (677888538664).

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

633166661336 is a wasteful number, since it uses less digits than its factorization.

633166661336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22440 (or 22436 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 50.

The spelling of 633166661336 in words is "six hundred thirty-three billion, one hundred sixty-six million, six hundred sixty-one thousand, three hundred thirty-six".