638163360 has 240 divisors, whose sum is σ = 2309037192. Its totient is φ = 165888000.

The previous prime is 638163353. The next prime is 638163389. The reversal of 638163360 is 63361836.

638163360 is a `hidden beast` number, since 638 + 16 + 3 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122146704 + 516016656 = 11052^2 + 22716^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 530760 + ... + 531960.

Almost surely, 2^638163360 is an apocalyptic number.

638163360 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 638163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154518596).

638163360 is an abundant number, since it is smaller than the sum of its proper divisors (1670873832).

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

638163360 is a wasteful number, since it uses less digits than its factorization.

638163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 638163360 is about 25261.8954158234. The cubic root of 638163360 is about 860.9487276586.

It can be divided in two parts, 63816 and 3360, that added together give a palindrome (67176).

The spelling of 638163360 in words is "six hundred thirty-eight million, one hundred sixty-three thousand, three hundred sixty".