327724240896 has 208 divisors, whose sum is σ = 1045606705920. Its totient is φ = 100837785600.

The previous prime is 327724240859. The next prime is 327724240903. The reversal of 327724240896 is 698042427723.

327724240896 is a `hidden beast` number, since 3 + 277 + 242 + 40 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323721 + ... + 1551671.

Almost surely, 2^327724240896 is an apocalyptic number.

327724240896 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 327724240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522803352960).

327724240896 is an abundant number, since it is smaller than the sum of its proper divisors (717882465024).

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

327724240896 is a wasteful number, since it uses less digits than its factorization.

327724240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227997 (or 227969 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 327724240896 in words is "three hundred twenty-seven billion, seven hundred twenty-four million, two hundred forty thousand, eight hundred ninety-six".