636480000 has 600 divisors, whose sum is σ = 2617402788. Its totient is φ = 147456000.

The previous prime is 636479981. The next prime is 636480007. The reversal of 636480000 is 84636.

636480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 67371264 + 569108736 = 8208^2 + 23856^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636480007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37439992 + ... + 37440008.

Almost surely, 2^636480000 is an apocalyptic number.

636480000 is a gapful number since it is divisible by the number (60) 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 636480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308701394).

636480000 is an abundant number, since it is smaller than the sum of its proper divisors (1980922788).

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

636480000 is a wasteful number, since it uses less digits than its factorization.

636480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 636480000 is about 25228.5552499544. Note that the first 3 decimals coincide. The cubic root of 636480000 is about 860.1910518393.

The spelling of 636480000 in words is "six hundred thirty-six million, four hundred eighty thousand".