327673222128000 has 4096 divisors, whose sum is σ = 1444922435174400. Its totient is φ = 71442432000000.

The previous prime is 327673222127989. The next prime is 327673222128037. The reversal of 327673222128000 is 821222376723.

327673222128000 is a `hidden beast` number, since 3 + 27 + 6 + 7 + 322 + 21 + 280 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1715566607905 + ... + 1715566608095.

It is an arithmetic number, because the mean of its divisors is an integer number (352764266400).

Almost surely, 2^{327673222128000} is an apocalyptic number.

327673222128000 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 327673222128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722461217587200).

327673222128000 is an abundant number, since it is smaller than the sum of its proper divisors (1117249213046400).

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

327673222128000 is a wasteful number, since it uses less digits than its factorization.

327673222128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 327673222128000 in words is "three hundred twenty-seven trillion, six hundred seventy-three billion, two hundred twenty-two million, one hundred twenty-eight thousand".