320325642000 has 1440 divisors, whose sum is σ = 1417396780800. Its totient is φ = 67365043200.

The previous prime is 320325641981. The next prime is 320325642001. The reversal of 320325642000 is 246523023.

320325642000 is a `hidden beast` number, since 3 + 203 + 256 + 4 + 200 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (320325642001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1043405847 + ... + 1043406153.

It is an arithmetic number, because the mean of its divisors is an integer number (984303320).

Almost surely, 2^320325642000 is an apocalyptic number.

320325642000 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 320325642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708698390400).

320325642000 is an abundant number, since it is smaller than the sum of its proper divisors (1097071138800).

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

320325642000 is a wasteful number, since it uses less digits than its factorization.

320325642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 320325642000 in words is "three hundred twenty billion, three hundred twenty-five million, six hundred forty-two thousand".