729721889819 has 16 divisors (see below), whose sum is σ = 789218744160. Its totient is φ = 670706403840.

The previous prime is 729721889797. The next prime is 729721889839. The reversal of 729721889819 is 918988127927.

It is a cyclic number.

It is not a de Polignac number, because 729721889819 - 2²⁴ = 729705112603 is a prime.

It is a super-2 number, since 2×729721889819² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729721889839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45072644 + ... + 45088830.

It is an arithmetic number, because the mean of its divisors is an integer number (49326171510).

Almost surely, 2^729721889819 is an apocalyptic number.

729721889819 is a deficient number, since it is larger than the sum of its proper divisors (59496854341).

729721889819 is a wasteful number, since it uses less digits than its factorization.

729721889819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30830.

The product of its digits is 73156608, while the sum is 71.

The spelling of 729721889819 in words is "seven hundred twenty-nine billion, seven hundred twenty-one million, eight hundred eighty-nine thousand, eight hundred nineteen".