729561509160 has 256 divisors, whose sum is σ = 2409778667520. Its totient is φ = 176687878400.

The previous prime is 729561509141. The next prime is 729561509213. The reversal of 729561509160 is 61905165927.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241335409 + ... + 241338431.

It is an arithmetic number, because the mean of its divisors is an integer number (9413197920).

Almost surely, 2^729561509160 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 729561509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204889333760).

729561509160 is an abundant number, since it is smaller than the sum of its proper divisors (1680217158360).

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

729561509160 is a wasteful number, since it uses less digits than its factorization.

729561509160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 729561509160 in words is "seven hundred twenty-nine billion, five hundred sixty-one million, five hundred nine thousand, one hundred sixty".