320074713359424 has 231 divisors, whose sum is σ = 952820544526423. Its totient is φ = 106679977990272.

The previous prime is 320074713359419. The next prime is 320074713359441. The reversal of 320074713359424 is 424953317470023.

The square root of 320074713359424 is 17890632.

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

320074713359424 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 7 + 47 + 1 + 3 + 3 + 594 + 2 + 4 = 666.

It is a super-2 number, since 2×320074713359424² (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 34779384007 + ... + 34779393209.

Almost surely, 2^{320074713359424} is an apocalyptic number.

320074713359424 is the 17890632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320074713359424

320074713359424 is an abundant number, since it is smaller than the sum of its proper divisors (632745831166999).

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

320074713359424 is an frugal number, since it uses more digits than its factorization.

320074713359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18448 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 320074713359424 in words is "three hundred twenty trillion, seventy-four billion, seven hundred thirteen million, three hundred fifty-nine thousand, four hundred twenty-four".