320497841664 has 2560 divisors, whose sum is σ = 1425508761600. Its totient is φ = 68319313920.

The previous prime is 320497841663. The next prime is 320497841669. The reversal of 320497841664 is 466148794023.

320497841664 is a `hidden beast` number, since 3 + 2 + 0 + 497 + 84 + 16 + 64 = 666.

It is a super-2 number, since 2×320497841664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 320497841664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320497841663) 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 255 ways as a sum of consecutive naturals, for example, 6047129062 + ... + 6047129114.

It is an arithmetic number, because the mean of its divisors is an integer number (556839360).

Almost surely, 2^320497841664 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 320497841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712754380800).

320497841664 is an abundant number, since it is smaller than the sum of its proper divisors (1105010919936).

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

320497841664 is a wasteful number, since it uses less digits than its factorization.

320497841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 320497841664 in words is "three hundred twenty billion, four hundred ninety-seven million, eight hundred forty-one thousand, six hundred sixty-four".