636536960 has 128 divisors (see below), whose sum is σ = 1610098560. Its totient is φ = 240148480.

The previous prime is 636536959. The next prime is 636536969. The reversal of 636536960 is 69635636.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636536969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221500 + ... + 1222020.

It is an arithmetic number, because the mean of its divisors is an integer number (12578895).

Almost surely, 2^636536960 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 636536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805049280).

636536960 is an abundant number, since it is smaller than the sum of its proper divisors (973561600).

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

636536960 is a wasteful number, since it uses less digits than its factorization.

636536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 44.

The square root of 636536960 is about 25229.6841042451. The cubic root of 636536960 is about 860.2167112058.

The spelling of 636536960 in words is "six hundred thirty-six million, five hundred thirty-six thousand, nine hundred sixty".