636434434636 has 288 divisors, whose sum is σ = 1541757450240. Its totient is φ = 223629120000.

The previous prime is 636434434631. The next prime is 636434434661.

636434434636 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (636434434631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351426171 + ... + 351427981.

It is an arithmetic number, because the mean of its divisors is an integer number (5353324480).

Almost surely, 2^636434434636 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 636434434636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770878725120).

636434434636 is an abundant number, since it is smaller than the sum of its proper divisors (905323015604).

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

636434434636 is a wasteful number, since it uses less digits than its factorization.

636434434636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2024 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 52.

The spelling of 636434434636 in words is "six hundred thirty-six billion, four hundred thirty-four million, four hundred thirty-four thousand, six hundred thirty-six".