320488393680 has 960 divisors, whose sum is σ = 1414829445120. Its totient is φ = 63170150400.

The previous prime is 320488393679. The next prime is 320488393681. The reversal of 320488393680 is 86393884023.

It is a happy number.

320488393680 is a `hidden beast` number, since 3 + 20 + 488 + 39 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (320488393679) and next prime (320488393681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320488393681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58899760 + ... + 58905200.

It is an arithmetic number, because the mean of its divisors is an integer number (1473780672).

Almost surely, 2^320488393680 is an apocalyptic number.

320488393680 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 320488393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707414722560).

320488393680 is an abundant number, since it is smaller than the sum of its proper divisors (1094341051440).

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

320488393680 is a wasteful number, since it uses less digits than its factorization.

320488393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 320488393680 in words is "three hundred twenty billion, four hundred eighty-eight million, three hundred ninety-three thousand, six hundred eighty".