636448228768464 has 160 divisors (see below), whose sum is σ = 1961384452884480. Its totient is φ = 173878541692416.

The previous prime is 636448228768361. The next prime is 636448228768489. The reversal of 636448228768464 is 464867822844636.

636448228768464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 636448228768464.

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, 9691194 + ... + 36970470.

It is an arithmetic number, because the mean of its divisors is an integer number (12258652830528).

Almost surely, 2^{636448228768464} 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 636448228768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980692226442240).

636448228768464 is an abundant number, since it is smaller than the sum of its proper divisors (1324936224116016).

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

636448228768464 is a wasteful number, since it uses less digits than its factorization.

636448228768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282337 (or 27282331 counting only the distinct ones).

The product of its digits is 14269022208, while the sum is 78.

The spelling of 636448228768464 in words is "six hundred thirty-six trillion, four hundred forty-eight billion, two hundred twenty-eight million, seven hundred sixty-eight thousand, four hundred sixty-four".