327688114944960 has 1344 divisors, whose sum is σ = 1479819079065600. Its totient is φ = 64479786393600.

The previous prime is 327688114944919. The next prime is 327688114944989. The reversal of 327688114944960 is 69449411886723.

327688114944960 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 8 + 114 + 9 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10697908845 + ... + 10697939475.

It is an arithmetic number, because the mean of its divisors is an integer number (1101055862400).

Almost surely, 2^{327688114944960} is an apocalyptic number.

327688114944960 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 327688114944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739909539532800).

327688114944960 is an abundant number, since it is smaller than the sum of its proper divisors (1152130964120640).

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

327688114944960 is a wasteful number, since it uses less digits than its factorization.

327688114944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33230 (or 33217 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 327688114944960 in words is "three hundred twenty-seven trillion, six hundred eighty-eight billion, one hundred fourteen million, nine hundred forty-four thousand, nine hundred sixty".