327653921088 has 1008 divisors, whose sum is σ = 1164879031680. Its totient is φ = 87244996608.

The previous prime is 327653921083. The next prime is 327653921113. The reversal of 327653921088 is 880129356723.

327653921088 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 539 + 21 + 0 + 88 = 666.

It is a super-2 number, since 2×327653921088² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327653921083) 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 143 ways as a sum of consecutive naturals, for example, 1443409231 + ... + 1443409457.

It is an arithmetic number, because the mean of its divisors is an integer number (1155633960).

Almost surely, 2^327653921088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327653921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582439515840).

327653921088 is an abundant number, since it is smaller than the sum of its proper divisors (837225110592).

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

327653921088 is a wasteful number, since it uses less digits than its factorization.

327653921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 327653921088 in words is "three hundred twenty-seven billion, six hundred fifty-three million, nine hundred twenty-one thousand, eighty-eight".