638423200800 has 1728 divisors, whose sum is σ = 2930740420608. Its totient is φ = 127961856000.

The previous prime is 638423200747. The next prime is 638423200823. The reversal of 638423200800 is 8002324836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2079554247 + ... + 2079554553.

It is an arithmetic number, because the mean of its divisors is an integer number (1696030336).

Almost surely, 2^638423200800 is an apocalyptic number.

638423200800 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 638423200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465370210304).

638423200800 is an abundant number, since it is smaller than the sum of its proper divisors (2292317219808).

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

638423200800 is a wasteful number, since it uses less digits than its factorization.

638423200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 638423200800 in words is "six hundred thirty-eight billion, four hundred twenty-three million, two hundred thousand, eight hundred".