327894082560 has 704 divisors, whose sum is σ = 1276793487360. Its totient is φ = 79141109760.

The previous prime is 327894082541. The next prime is 327894082561. The reversal of 327894082560 is 65280498723.

327894082560 is a `hidden beast` number, since 3 + 2 + 78 + 9 + 4 + 0 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 327894082497 and 327894082506.

It is not an unprimeable number, because it can be changed into a prime (327894082561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582404839 + ... + 582405401.

Almost surely, 2^327894082560 is an apocalyptic number.

327894082560 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 327894082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638396743680).

327894082560 is an abundant number, since it is smaller than the sum of its proper divisors (948899404800).

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

327894082560 is a wasteful number, since it uses less digits than its factorization.

327894082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 327894082560 in words is "three hundred twenty-seven billion, eight hundred ninety-four million, eighty-two thousand, five hundred sixty".