327285398066400 has 1728 divisors, whose sum is σ = 1274663763172800. Its totient is φ = 78651048591360.

The previous prime is 327285398066359. The next prime is 327285398066437. The reversal of 327285398066400 is 4660893582723.

It is a happy number.

327285398066400 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 85 + 3 + 98 + 0 + 66 + 400 = 666.

It is a congruent number.

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, 253906436956 + ... + 253906438244.

It is an arithmetic number, because the mean of its divisors is an integer number (737652640725).

Almost surely, 2^{327285398066400} is an apocalyptic number.

327285398066400 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 327285398066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637331881586400).

327285398066400 is an abundant number, since it is smaller than the sum of its proper divisors (947378365106400).

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

327285398066400 is a wasteful number, since it uses less digits than its factorization.

327285398066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 327285398066400 in words is "three hundred twenty-seven trillion, two hundred eighty-five billion, three hundred ninety-eight million, sixty-six thousand, four hundred".