636216612636 has 96 divisors (see below), whose sum is σ = 1675691297280. Its totient is φ = 186101843200.

The previous prime is 636216612601. The next prime is 636216612641.

636216612636 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18996946 + ... + 19030406.

It is an arithmetic number, because the mean of its divisors is an integer number (17455117680).

Almost surely, 2^636216612636 is an apocalyptic number.

636216612636 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 636216612636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837845648640).

636216612636 is an abundant number, since it is smaller than the sum of its proper divisors (1039474684644).

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

636216612636 is a wasteful number, since it uses less digits than its factorization.

636216612636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38475 (or 38473 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The spelling of 636216612636 in words is "six hundred thirty-six billion, two hundred sixteen million, six hundred twelve thousand, six hundred thirty-six".