729882674901 has 48 divisors (see below), whose sum is σ = 1121088608640. Its totient is φ = 474254196480.

The previous prime is 729882674891. The next prime is 729882674903. The reversal of 729882674901 is 109476288927.

729882674901 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 82 + 67 + 490 + 1 = 666.

It is not a de Polignac number, because 729882674901 - 2¹¹ = 729882672853 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729882674903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10256320 + ... + 10327238.

It is an arithmetic number, because the mean of its divisors is an integer number (23356012680).

Almost surely, 2^729882674901 is an apocalyptic number.

It is an amenable number.

729882674901 is a deficient number, since it is larger than the sum of its proper divisors (391205933739).

729882674901 is a wasteful number, since it uses less digits than its factorization.

729882674901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72008 (or 71996 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 729882674901 in words is "seven hundred twenty-nine billion, eight hundred eighty-two million, six hundred seventy-four thousand, nine hundred one".