327886663910400 has 3168 divisors, whose sum is σ = 1457838578073600. Its totient is φ = 71927576985600.

The previous prime is 327886663910321. The next prime is 327886663910423. The reversal of 327886663910400 is 4019366688723.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133341464371 + ... + 133341466829.

Almost surely, 2^{327886663910400} is an apocalyptic number.

327886663910400 is a gapful number since it is divisible by the number (30) 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 327886663910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728919289036800).

327886663910400 is an abundant number, since it is smaller than the sum of its proper divisors (1129951914163200).

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

327886663910400 is a wasteful number, since it uses less digits than its factorization.

327886663910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 327886663910400 in words is "three hundred twenty-seven trillion, eight hundred eighty-six billion, six hundred sixty-three million, nine hundred ten thousand, four hundred".