636648127056 has 120 divisors (see below), whose sum is σ = 1789905813696. Its totient is φ = 211243599360.

The previous prime is 636648127051. The next prime is 636648127121. The reversal of 636648127056 is 650721846636.

636648127056 is a `hidden beast` number, since 6 + 366 + 4 + 8 + 1 + 270 + 5 + 6 = 666.

636648127056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 636648126993 and 636648127011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636648127051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54264711 + ... + 54276441.

Almost surely, 2^636648127056 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 636648127056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894952906848).

636648127056 is an abundant number, since it is smaller than the sum of its proper divisors (1153257686640).

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

636648127056 is a wasteful number, since it uses less digits than its factorization.

636648127056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 636648127056 in words is "six hundred thirty-six billion, six hundred forty-eight million, one hundred twenty-seven thousand, fifty-six".