636482816064 has 504 divisors, whose sum is σ = 2009511189504. Its totient is φ = 199594368000.

The previous prime is 636482816051. The next prime is 636482816069. The reversal of 636482816064 is 460618284636.

636482816064 is a `hidden beast` number, since 6 + 3 + 6 + 4 + 8 + 28 + 1 + 606 + 4 = 666.

It is a super-2 number, since 2×636482816064² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 636482816064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636482816069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552981889 + ... + 552983039.

It is an arithmetic number, because the mean of its divisors is an integer number (3987125376).

Almost surely, 2^636482816064 is an apocalyptic number.

636482816064 is a gapful number since it is divisible by the number (64) 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 636482816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004755594752).

636482816064 is an abundant number, since it is smaller than the sum of its proper divisors (1373028373440).

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

636482816064 is a wasteful number, since it uses less digits than its factorization.

636482816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 636482816064 in words is "six hundred thirty-six billion, four hundred eighty-two million, eight hundred sixteen thousand, sixty-four".