636720480 has 192 divisors, whose sum is σ = 2431296000. Its totient is φ = 154344960.

The previous prime is 636720467. The next prime is 636720481. The reversal of 636720480 is 84027636.

636720480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636720481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40821 + ... + 54219.

It is an arithmetic number, because the mean of its divisors is an integer number (12663000).

Almost surely, 2^636720480 is an apocalyptic number.

636720480 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 636720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215648000).

636720480 is an abundant number, since it is smaller than the sum of its proper divisors (1794575520).

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

636720480 is a wasteful number, since it uses less digits than its factorization.

636720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 636720480 is about 25233.3208278261. The cubic root of 636720480 is about 860.2993729686.

The spelling of 636720480 in words is "six hundred thirty-six million, seven hundred twenty thousand, four hundred eighty".