729864774144 has 400 divisors, whose sum is σ = 2380341148416. Its totient is φ = 220813516800.

The previous prime is 729864774131. The next prime is 729864774211. The reversal of 729864774144 is 441477468927.

It is a happy number.

729864774144 is a `hidden beast` number, since 7 + 2 + 9 + 86 + 477 + 41 + 44 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 465771249 + ... + 465772815.

Almost surely, 2^729864774144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729864774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190170574208).

729864774144 is an abundant number, since it is smaller than the sum of its proper divisors (1650476374272).

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

729864774144 is a wasteful number, since it uses less digits than its factorization.

729864774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2604 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 729864774144 in words is "seven hundred twenty-nine billion, eight hundred sixty-four million, seven hundred seventy-four thousand, one hundred forty-four".