327962068678656 has 288 divisors, whose sum is σ = 970029357176880. Its totient is φ = 106691708583936.

The previous prime is 327962068678639. The next prime is 327962068678663. The reversal of 327962068678656 is 656876860269723.

327962068678656 is a `hidden beast` number, since 3 + 279 + 6 + 206 + 8 + 67 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980249256 + ... + 980583768.

Almost surely, 2^{327962068678656} is an apocalyptic number.

327962068678656 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 327962068678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485014678588440).

327962068678656 is an abundant number, since it is smaller than the sum of its proper divisors (642067288498224).

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

327962068678656 is a wasteful number, since it uses less digits than its factorization.

327962068678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335821 (or 335798 counting only the distinct ones).

The product of its (nonzero) digits is 13168189440, while the sum is 81.

The spelling of 327962068678656 in words is "three hundred twenty-seven trillion, nine hundred sixty-two billion, sixty-eight million, six hundred seventy-eight thousand, six hundred fifty-six".