638529325056 has 288 divisors, whose sum is σ = 2116947268800. Its totient is φ = 181631877120.

The previous prime is 638529325003. The next prime is 638529325069. The reversal of 638529325056 is 650523925836.

638529325056 is a `hidden beast` number, since 6 + 3 + 85 + 29 + 32 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 638529324993 and 638529325011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29535691 + ... + 29557301.

It is an arithmetic number, because the mean of its divisors is an integer number (7350511350).

Almost surely, 2^638529325056 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 638529325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058473634400).

638529325056 is an abundant number, since it is smaller than the sum of its proper divisors (1478417943744).

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

638529325056 is a wasteful number, since it uses less digits than its factorization.

638529325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21852 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 638529325056 in words is "six hundred thirty-eight billion, five hundred twenty-nine million, three hundred twenty-five thousand, fifty-six".