320854713984 has 768 divisors, whose sum is σ = 1130816194560. Its totient is φ = 85399142400.

The previous prime is 320854713967. The next prime is 320854713989. The reversal of 320854713984 is 489317458023.

It is a happy number.

320854713984 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 547 + 1 + 3 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 320854713984.

It is not an unprimeable number, because it can be changed into a prime (320854713989) 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 95 ways as a sum of consecutive naturals, for example, 808198074 + ... + 808198470.

It is an arithmetic number, because the mean of its divisors is an integer number (1472416920).

Almost surely, 2^320854713984 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 320854713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565408097280).

320854713984 is an abundant number, since it is smaller than the sum of its proper divisors (809961480576).

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

320854713984 is a wasteful number, since it uses less digits than its factorization.

320854713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 320854713984 in words is "three hundred twenty billion, eight hundred fifty-four million, seven hundred thirteen thousand, nine hundred eighty-four".