729516663 has 12 divisors (see below), whose sum is σ = 1090082760. Its totient is φ = 469573776.

The previous prime is 729516661. The next prime is 729516673. The reversal of 729516663 is 366615927.

It is not a de Polignac number, because 729516663 - 2¹ = 729516661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729516661) 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 11 ways as a sum of consecutive naturals, for example, 1397281 + ... + 1397802.

It is an arithmetic number, because the mean of its divisors is an integer number (90840230).

Almost surely, 2^729516663 is an apocalyptic number.

729516663 is a deficient number, since it is larger than the sum of its proper divisors (360566097).

729516663 is a wasteful number, since it uses less digits than its factorization.

729516663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795118 (or 2795115 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 729516663 is about 27009.5661386850. The cubic root of 729516663 is about 900.2125683087.

The spelling of 729516663 in words is "seven hundred twenty-nine million, five hundred sixteen thousand, six hundred sixty-three".