638272143936 has 168 divisors, whose sum is σ = 2104882353600. Its totient is φ = 181139383296.

The previous prime is 638272143931. The next prime is 638272143937. The reversal of 638272143936 is 639341272836.

638272143936 is a `hidden beast` number, since 6 + 38 + 2 + 7 + 214 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (638272143931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69555 + ... + 1131981.

Almost surely, 2^638272143936 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 638272143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052441176800).

638272143936 is an abundant number, since it is smaller than the sum of its proper divisors (1466610209664).

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

638272143936 is a wasteful number, since it uses less digits than its factorization.

638272143936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062601 (or 1062588 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 638272143936 in words is "six hundred thirty-eight billion, two hundred seventy-two million, one hundred forty-three thousand, nine hundred thirty-six".