327783960400 has 240 divisors, whose sum is σ = 869409104256. Its totient is φ = 117994383360.

The previous prime is 327783960359. The next prime is 327783960401. The reversal of 327783960400 is 4069387723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327783960401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166133814 + ... + 166135786.

Almost surely, 2^327783960400 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 327783960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434704552128).

327783960400 is an abundant number, since it is smaller than the sum of its proper divisors (541625143856).

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

327783960400 is a wasteful number, since it uses less digits than its factorization.

327783960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 327783960400 in words is "three hundred twenty-seven billion, seven hundred eighty-three million, nine hundred sixty thousand, four hundred".