327748670305056 has 2304 divisors, whose sum is σ = 1337600704204800. Its totient is φ = 76022891366400.

The previous prime is 327748670305009. The next prime is 327748670305057. The reversal of 327748670305056 is 650503076847723.

327748670305056 is a `hidden beast` number, since 3 + 2 + 7 + 7 + 486 + 70 + 30 + 5 + 0 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 327748670304984 and 327748670305002.

It is not an unprimeable number, because it can be changed into a prime (327748670305057) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100567249155 + ... + 100567252413.

It is an arithmetic number, because the mean of its divisors is an integer number (580555861200).

Almost surely, 2^{327748670305056} is an apocalyptic number.

327748670305056 is a gapful number since it is divisible by the number (36) 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 327748670305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668800352102400).

327748670305056 is an abundant number, since it is smaller than the sum of its proper divisors (1009852033899744).

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

327748670305056 is a wasteful number, since it uses less digits than its factorization.

327748670305056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 327748670305056 in words is "three hundred twenty-seven trillion, seven hundred forty-eight billion, six hundred seventy million, three hundred five thousand, fifty-six".