638012448000 has 864 divisors, whose sum is σ = 2449732626432. Its totient is φ = 158883840000.

The previous prime is 638012447993. The next prime is 638012448037. The reversal of 638012448000 is 844210836.

638012448000 is a `hidden beast` number, since 638 + 0 + 12 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 739295569 + ... + 739296431.

It is an arithmetic number, because the mean of its divisors is an integer number (2835338688).

Almost surely, 2^638012448000 is an apocalyptic number.

638012448000 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 638012448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224866313216).

638012448000 is an abundant number, since it is smaller than the sum of its proper divisors (1811720178432).

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

638012448000 is a wasteful number, since it uses less digits than its factorization.

638012448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 638012448000 its reverse (844210836), we get a palindrome (638856658836).

The spelling of 638012448000 in words is "six hundred thirty-eight billion, twelve million, four hundred forty-eight thousand".