638074004800 has 168 divisors, whose sum is σ = 1576866137600. Its totient is φ = 254126315520.

The previous prime is 638074004767. The next prime is 638074004809. The reversal of 638074004800 is 8400470836.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638074004809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614122681 + ... + 614123719.

Almost surely, 2^638074004800 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 638074004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788433068800).

638074004800 is an abundant number, since it is smaller than the sum of its proper divisors (938792132800).

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

638074004800 is a wasteful number, since it uses less digits than its factorization.

638074004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 638074004800 in words is "six hundred thirty-eight billion, seventy-four million, four thousand, eight hundred".