327638045460 has 144 divisors (see below), whose sum is σ = 1008181742400. Its totient is φ = 78844661760.

The previous prime is 327638045459. The next prime is 327638045491. The reversal of 327638045460 is 64540836723.

It is a super-2 number, since 2×327638045460² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12374316 + ... + 12400764.

It is an arithmetic number, because the mean of its divisors is an integer number (7001262100).

Almost surely, 2^327638045460 is an apocalyptic number.

327638045460 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 327638045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504090871200).

327638045460 is an abundant number, since it is smaller than the sum of its proper divisors (680543696940).

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

327638045460 is a wasteful number, since it uses less digits than its factorization.

327638045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26746 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 327638045460 in words is "three hundred twenty-seven billion, six hundred thirty-eight million, forty-five thousand, four hundred sixty".