320700220416 has 297 divisors, whose sum is σ = 986533609789. Its totient is φ = 100321886208.

The previous prime is 320700220409. The next prime is 320700220417. The reversal of 320700220416 is 614022007023.

The square root of 320700220416 is 566304.

It is a perfect power (a square), and thus also a powerful number.

320700220416 is a `hidden beast` number, since 3 + 20 + 7 + 0 + 0 + 220 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249680102400 + 71020118016 = 499680^2 + 266496^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 320700220416.

It is not an unprimeable number, because it can be changed into a prime (320700220417) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 924207955 + ... + 924208301.

Almost surely, 2^320700220416 is an apocalyptic number.

320700220416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320700220416 is the 566304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320700220416

320700220416 is an abundant number, since it is smaller than the sum of its proper divisors (665833389373).

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

320700220416 is an equidigital number, since it uses as much as digits as its factorization.

320700220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 320700220416 its reverse (614022007023), we get a palindrome (934722227439).

The spelling of 320700220416 in words is "three hundred twenty billion, seven hundred million, two hundred twenty thousand, four hundred sixteen".