320066273536 has 81 divisors (see below), whose sum is σ = 674639943453. Its totient is φ = 151528872960.

The previous prime is 320066273497. The next prime is 320066273561. The reversal of 320066273536 is 635372660023.

The square root of 320066273536 is 565744.

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

It can be written as a sum of positive squares in only one way, i.e., 343879936 + 319722393600 = 18544^2 + 565440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320066273492 and 320066273501.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 171985246 + ... + 171987106.

Almost surely, 2^320066273536 is an apocalyptic number.

320066273536 is the 565744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320066273536

320066273536 is an abundant number, since it is smaller than the sum of its proper divisors (354573669917).

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

320066273536 is an frugal number, since it uses more digits than its factorization.

320066273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 43.

The spelling of 320066273536 in words is "three hundred twenty billion, sixty-six million, two hundred seventy-three thousand, five hundred thirty-six".