638135884800 has 792 divisors, whose sum is σ = 2494621584000. Its totient is φ = 161183416320.

The previous prime is 638135884753. The next prime is 638135884801. The reversal of 638135884800 is 8488531836.

638135884800 is a `hidden beast` number, since 6 + 3 + 8 + 13 + 588 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638135884801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118192501 + ... + 118197899.

Almost surely, 2^638135884800 is an apocalyptic number.

638135884800 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 638135884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247310792000).

638135884800 is an abundant number, since it is smaller than the sum of its proper divisors (1856485699200).

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

638135884800 is a wasteful number, since it uses less digits than its factorization.

638135884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 638135884800 in words is "six hundred thirty-eight billion, one hundred thirty-five million, eight hundred eighty-four thousand, eight hundred".