327964673124 has 81 divisors (see below), whose sum is σ = 911343881721. Its totient is φ = 99371780640.

The previous prime is 327964673083. The next prime is 327964673147. The reversal of 327964673124 is 421376469723.

It is a happy number.

The square root of 327964673124 is 572682.

It is a perfect power (a square), and thus also a powerful number.

327964673124 is a `hidden beast` number, since 327 + 96 + 46 + 73 + 124 = 666.

327964673124 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86065956900 + 241898716224 = 293370^2 + 491832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37792674 + ... + 37801350.

Almost surely, 2^327964673124 is an apocalyptic number.

327964673124 is the 572682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327964673124

327964673124 is an abundant number, since it is smaller than the sum of its proper divisors (583379208597).

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

327964673124 is an equidigital number, since it uses as much as digits as its factorization.

327964673124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 8693 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 327964673124 in words is "three hundred twenty-seven billion, nine hundred sixty-four million, six hundred seventy-three thousand, one hundred twenty-four".