320264000000 has 840 divisors, whose sum is σ = 1002207484080. Its totient is φ = 101606400000.

The previous prime is 320263999931. The next prime is 320264000011. The reversal of 320264000000 is 462023.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 320264000000 = 1800³ + 6800³ = 3200³ + 6600³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7447999979 + ... + 7448000021.

Almost surely, 2^320264000000 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 320264000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501103742040).

320264000000 is an abundant number, since it is smaller than the sum of its proper divisors (681943484080).

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

320264000000 is an frugal number, since it uses more digits than its factorization.

320264000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 320264000000 its reverse (462023), we get a palindrome (320264462023).

The spelling of 320264000000 in words is "three hundred twenty billion, two hundred sixty-four million", and thus it is an aban number.