327638096020800 has 252 divisors, whose sum is σ = 1215133725318240. Its totient is φ = 83571456291840.

The previous prime is 327638096020727. The next prime is 327638096020889. The reversal of 327638096020800 is 8020690836723.

It is a happy number.

327638096020800 is a `hidden beast` number, since 3 + 27 + 6 + 3 + 8 + 0 + 9 + 602 + 0 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 494291530 + ... + 494953929.

Almost surely, 2^{327638096020800} is an apocalyptic number.

327638096020800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

327638096020800 is an abundant number, since it is smaller than the sum of its proper divisors (887495629297440).

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

327638096020800 is a wasteful number, since it uses less digits than its factorization.

327638096020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989245510 (or 989245492 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 327638096020800 in words is "three hundred twenty-seven trillion, six hundred thirty-eight billion, ninety-six million, twenty thousand, eight hundred".