729068501790720 has 2080 divisors, whose sum is σ = 3356518269468672. Its totient is φ = 147136678723584.

The previous prime is 729068501790689. The next prime is 729068501790731. The reversal of 729068501790720 is 27097105860927.

729068501790720 is a `hidden beast` number, since 7 + 290 + 68 + 50 + 179 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3471930849 + ... + 3472140831.

Almost surely, 2^{729068501790720} is an apocalyptic number.

729068501790720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729068501790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678259134734336).

729068501790720 is an abundant number, since it is smaller than the sum of its proper divisors (2627449767677952).

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

729068501790720 is a wasteful number, since it uses less digits than its factorization.

729068501790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210067 (or 210036 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 729068501790720 in words is "seven hundred twenty-nine trillion, sixty-eight billion, five hundred one million, seven hundred ninety thousand, seven hundred twenty".