327511664640 has 144 divisors (see below), whose sum is σ = 1135096899300. Its totient is φ = 87336419328.

The previous prime is 327511664569. The next prime is 327511664647. The reversal of 327511664640 is 46466115723.

327511664640 is a `hidden beast` number, since 3 + 2 + 75 + 116 + 6 + 464 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 326159778816 + 1351885824 = 571104^2 + 36768^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (327511664647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1684705 + ... + 1869024.

Almost surely, 2^327511664640 is an apocalyptic number.

327511664640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

327511664640 is an abundant number, since it is smaller than the sum of its proper divisors (807585234660).

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

327511664640 is a wasteful number, since it uses less digits than its factorization.

327511664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553762 (or 3553739 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 327511664640 in words is "three hundred twenty-seven billion, five hundred eleven million, six hundred sixty-four thousand, six hundred forty".