327820268160 has 1536 divisors, whose sum is σ = 1476715069440. Its totient is φ = 65028096000.

The previous prime is 327820268131. The next prime is 327820268173. The reversal of 327820268160 is 61862028723.

327820268160 is a `hidden beast` number, since 327 + 8 + 2 + 0 + 268 + 1 + 60 = 666.

It is a super-2 number, since 2×327820268160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1553650455 + ... + 1553650665.

It is an arithmetic number, because the mean of its divisors is an integer number (961403040).

Almost surely, 2^327820268160 is an apocalyptic number.

327820268160 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 327820268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738357534720).

327820268160 is an abundant number, since it is smaller than the sum of its proper divisors (1148894801280).

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

327820268160 is a wasteful number, since it uses less digits than its factorization.

327820268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 327820268160 in words is "three hundred twenty-seven billion, eight hundred twenty million, two hundred sixty-eight thousand, one hundred sixty".