636648480 has 288 divisors, whose sum is σ = 2377589760. Its totient is φ = 154183680.

The previous prime is 636648469. The next prime is 636648517. The reversal of 636648480 is 84846636.

636648480 is a `hidden beast` number, since 636 + 6 + 4 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328881 + ... + 1329359.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^636648480 is an apocalyptic number.

636648480 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 636648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

636648480 is an abundant number, since it is smaller than the sum of its proper divisors (1740941280).

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

636648480 is a wasteful number, since it uses less digits than its factorization.

636648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 636648480 is about 25231.8941025045. The cubic root of 636648480 is about 860.2669443537.

The spelling of 636648480 in words is "six hundred thirty-six million, six hundred forty-eight thousand, four hundred eighty".