638546546880 has 336 divisors, whose sum is σ = 2402302316544. Its totient is φ = 154392053760.

The previous prime is 638546546873. The next prime is 638546546881. The reversal of 638546546880 is 88645645836.

It is a happy number.

638546546880 is a `hidden beast` number, since 6 + 3 + 8 + 5 + 4 + 6 + 546 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (638546546881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12107127 + ... + 12159753.

Almost surely, 2^638546546880 is an apocalyptic number.

638546546880 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 638546546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201151158272).

638546546880 is an abundant number, since it is smaller than the sum of its proper divisors (1763755769664).

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

638546546880 is a wasteful number, since it uses less digits than its factorization.

638546546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53044 (or 53031 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 638546546880 in words is "six hundred thirty-eight billion, five hundred forty-six million, five hundred forty-six thousand, eight hundred eighty".