633864468336 has 160 divisors (see below), whose sum is σ = 1799464398336. Its totient is φ = 190671360000.

The previous prime is 633864468323. The next prime is 633864468337.

633864468336 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 633864468336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633864468337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194614420 + ... + 194617676.

Almost surely, 2^633864468336 is an apocalyptic number.

633864468336 is a gapful number since it is divisible by the number (66) 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 633864468336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899732199168).

633864468336 is an abundant number, since it is smaller than the sum of its proper divisors (1165599930000).

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

633864468336 is a wasteful number, since it uses less digits than its factorization.

633864468336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5865 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 60.

The spelling of 633864468336 in words is "six hundred thirty-three billion, eight hundred sixty-four million, four hundred sixty-eight thousand, three hundred thirty-six".