729561144780864 has 140 divisors (see below), whose sum is σ = 2359252128098448. Its totient is φ = 221079134764800.

The previous prime is 729561144780841. The next prime is 729561144780869. The reversal of 729561144780864 is 468087441165927.

729561144780864 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 61 + 14 + 478 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 729561144780792 and 729561144780801.

It is not an unprimeable number, because it can be changed into a prime (729561144780869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6396908682 + ... + 6397022729.

Almost surely, 2^{729561144780864} is an apocalyptic number.

It is an amenable number.

729561144780864 is an abundant number, since it is smaller than the sum of its proper divisors (1629690983317584).

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

729561144780864 is a wasteful number, since it uses less digits than its factorization.

729561144780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793931446 (or 12793931427 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 729561144780864 in words is "seven hundred twenty-nine trillion, five hundred sixty-one billion, one hundred forty-four million, seven hundred eighty thousand, eight hundred sixty-four".