729580069440 has 168 divisors, whose sum is σ = 2570657996088. Its totient is φ = 189809418240.

The previous prime is 729580069429. The next prime is 729580069457. The reversal of 729580069440 is 44960085927.

It can be written as a sum of positive squares in 4 ways, for example, as 54330015744 + 675250053696 = 233088^2 + 821736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2971267 + ... + 3207426.

It is an arithmetic number, because the mean of its divisors is an integer number (15301535691).

Almost surely, 2^729580069440 is an apocalyptic number.

It is an amenable number.

729580069440 is an abundant number, since it is smaller than the sum of its proper divisors (1841077926648).

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

729580069440 is a wasteful number, since it uses less digits than its factorization.

729580069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178757 (or 6178744 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 729580069440 in words is "seven hundred twenty-nine billion, five hundred eighty million, sixty-nine thousand, four hundred forty".