638605560384 has 315 divisors, whose sum is σ = 2082829395801. Its totient is φ = 193325045760.

The previous prime is 638605560311. The next prime is 638605560469. The reversal of 638605560384 is 483065506836.

It is a happy number.

The square root of 638605560384 is 799128.

It is a perfect power (a square), and thus also a powerful number.

638605560384 is a `hidden beast` number, since 6 + 3 + 8 + 6 + 0 + 556 + 0 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 196008081984 + 442597478400 = 442728^2 + 665280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 638605560384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 632908872 + ... + 632909880.

Almost surely, 2^638605560384 is an apocalyptic number.

638605560384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

638605560384 is the 799128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638605560384

638605560384 is an abundant number, since it is smaller than the sum of its proper divisors (1444223835417).

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

638605560384 is an equidigital number, since it uses as much as digits as its factorization.

638605560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 638605560384 in words is "six hundred thirty-eight billion, six hundred five million, five hundred sixty thousand, three hundred eighty-four".