727643566352 has 80 divisors (see below), whose sum is σ = 1491024568320. Its totient is φ = 343046160000.

The previous prime is 727643566319. The next prime is 727643566357. The reversal of 727643566352 is 253665346727.

727643566352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (727643566357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139099577 + ... + 139104807.

It is an arithmetic number, because the mean of its divisors is an integer number (18637807104).

Almost surely, 2^727643566352 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 727643566352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745512284160).

727643566352 is an abundant number, since it is smaller than the sum of its proper divisors (763381001968).

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

727643566352 is a wasteful number, since it uses less digits than its factorization.

727643566352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7326 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 56.

The spelling of 727643566352 in words is "seven hundred twenty-seven billion, six hundred forty-three million, five hundred sixty-six thousand, three hundred fifty-two".