727823032320 has 448 divisors, whose sum is σ = 2395860405120. Its totient is φ = 188586393600.

The previous prime is 727823032319. The next prime is 727823032331. The reversal of 727823032320 is 23230328727.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 667114975 + ... + 667116065.

It is an arithmetic number, because the mean of its divisors is an integer number (5347902690).

Almost surely, 2^727823032320 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 727823032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197930202560).

727823032320 is an abundant number, since it is smaller than the sum of its proper divisors (1668037372800).

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

727823032320 is a wasteful number, since it uses less digits than its factorization.

727823032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 727823032320 in words is "seven hundred twenty-seven billion, eight hundred twenty-three million, thirty-two thousand, three hundred twenty".