327950797104 has 240 divisors, whose sum is σ = 1090732718400. Its totient is φ = 89998884864.

The previous prime is 327950797093. The next prime is 327950797123. The reversal of 327950797104 is 401797059723.

327950797104 is a `hidden beast` number, since 3 + 27 + 9 + 507 + 9 + 7 + 104 = 666.

It is a super-2 number, since 2×327950797104² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5612712 + ... + 5670840.

It is an arithmetic number, because the mean of its divisors is an integer number (4544719660).

Almost surely, 2^327950797104 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 327950797104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545366359200).

327950797104 is an abundant number, since it is smaller than the sum of its proper divisors (762781921296).

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

327950797104 is a wasteful number, since it uses less digits than its factorization.

327950797104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58372 (or 58363 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 327950797104 in words is "three hundred twenty-seven billion, nine hundred fifty million, seven hundred ninety-seven thousand, one hundred four".