327855568896 has 288 divisors, whose sum is σ = 1024708164480. Its totient is φ = 104530010112.

The previous prime is 327855568861. The next prime is 327855568907. The reversal of 327855568896 is 698865558723.

327855568896 is a `hidden beast` number, since 3 + 2 + 7 + 8 + 55 + 568 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×327855568896² (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431951 + ... + 11460593.

It is an arithmetic number, because the mean of its divisors is an integer number (3558014460).

Almost surely, 2^327855568896 is an apocalyptic number.

327855568896 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 327855568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512354082240).

327855568896 is an abundant number, since it is smaller than the sum of its proper divisors (696852595584).

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

327855568896 is an equidigital number, since it uses as much as digits as its factorization.

327855568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28703 (or 28671 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 327855568896 in words is "three hundred twenty-seven billion, eight hundred fifty-five million, five hundred sixty-eight thousand, eight hundred ninety-six".