638742385224 has 96 divisors (see below), whose sum is σ = 1753991896800. Its totient is φ = 209953555200.

The previous prime is 638742385157. The next prime is 638742385241. The reversal of 638742385224 is 422583247836.

638742385224 is a `hidden beast` number, since 6 + 3 + 87 + 4 + 2 + 38 + 522 + 4 = 666.

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, 33518499 + ... + 33537549.

It is an arithmetic number, because the mean of its divisors is an integer number (18270748925).

Almost surely, 2^638742385224 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 638742385224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876995948400).

638742385224 is an abundant number, since it is smaller than the sum of its proper divisors (1115249511576).

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

638742385224 is a wasteful number, since it uses less digits than its factorization.

638742385224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25515 (or 25508 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 638742385224 in words is "six hundred thirty-eight billion, seven hundred forty-two million, three hundred eighty-five thousand, two hundred twenty-four".