638774223360 has 1280 divisors, whose sum is σ = 2679428505600. Its totient is φ = 128755630080.

The previous prime is 638774223359. The next prime is 638774223397. The reversal of 638774223360 is 63322477836.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 787637355 + ... + 787638165.

It is an arithmetic number, because the mean of its divisors is an integer number (2093303520).

Almost surely, 2^638774223360 is an apocalyptic number.

638774223360 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 638774223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339714252800).

638774223360 is an abundant number, since it is smaller than the sum of its proper divisors (2040654282240).

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

638774223360 is a wasteful number, since it uses less digits than its factorization.

638774223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 638774223360 in words is "six hundred thirty-eight billion, seven hundred seventy-four million, two hundred twenty-three thousand, three hundred sixty".