636363363636 has 768 divisors, whose sum is σ = 2374284165120. Its totient is φ = 141976074240.

The previous prime is 636363363631. The next prime is 636363363661.

636363363636 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636363363631) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 91996450 + ... + 92003366.

It is an arithmetic number, because the mean of its divisors is an integer number (3091515840).

Almost surely, 2^636363363636 is an apocalyptic number.

636363363636 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 636363363636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187142082560).

636363363636 is an abundant number, since it is smaller than the sum of its proper divisors (1737920801484).

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

636363363636 is a wasteful number, since it uses less digits than its factorization.

636363363636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7013 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 54.

It can be divided in two parts, 636363 and 363636, that added together give a palindrome (999999).

The spelling of 636363363636 in words is "six hundred thirty-six billion, three hundred sixty-three million, three hundred sixty-three thousand, six hundred thirty-six".