729048636720 has 320 divisors, whose sum is σ = 2649705408000. Its totient is φ = 183736802304.

The previous prime is 729048636713. The next prime is 729048636731. The reversal of 729048636720 is 27636840927.

729048636720 is a `hidden beast` number, since 7 + 2 + 90 + 486 + 3 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17174562 + ... + 17216958.

It is an arithmetic number, because the mean of its divisors is an integer number (8280329400).

Almost surely, 2^729048636720 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 729048636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324852704000).

729048636720 is an abundant number, since it is smaller than the sum of its proper divisors (1920656771280).

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

729048636720 is a wasteful number, since it uses less digits than its factorization.

729048636720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42857 (or 42845 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 729048636720 in words is "seven hundred twenty-nine billion, forty-eight million, six hundred thirty-six thousand, seven hundred twenty".