729927700461401 has 32 divisors (see below), whose sum is σ = 833557819078656. Its totient is φ = 633199076352000.

The previous prime is 729927700461389. The next prime is 729927700461403. The reversal of 729927700461401 is 104164007729927.

It is a cyclic number.

It is not a de Polignac number, because 729927700461401 - 2²² = 729927696267097 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729927700461403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836157896 + ... + 3836348166.

It is an arithmetic number, because the mean of its divisors is an integer number (26048681846208).

Almost surely, 2^{729927700461401} is an apocalyptic number.

It is an amenable number.

729927700461401 is a deficient number, since it is larger than the sum of its proper divisors (103630118617255).

729927700461401 is a wasteful number, since it uses less digits than its factorization.

729927700461401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216113.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 729927700461401 in words is "seven hundred twenty-nine trillion, nine hundred twenty-seven billion, seven hundred million, four hundred sixty-one thousand, four hundred one".