638718048 has 120 divisors (see below), whose sum is σ = 1939291200. Its totient is φ = 206012160.

The previous prime is 638718029. The next prime is 638718077. The reversal of 638718048 is 840817836.

638718048 is a `hidden beast` number, since 638 + 7 + 1 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 638717994 and 638718012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76378 + ... + 84326.

It is an arithmetic number, because the mean of its divisors is an integer number (16160760).

Almost surely, 2^638718048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969645600).

638718048 is an abundant number, since it is smaller than the sum of its proper divisors (1300573152).

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

638718048 is a wasteful number, since it uses less digits than its factorization.

638718048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 638718048 is about 25272.8717798354. The cubic root of 638718048 is about 861.1980993509.

The spelling of 638718048 in words is "six hundred thirty-eight million, seven hundred eighteen thousand, forty-eight".