729331274880 has 512 divisors, whose sum is σ = 2849627692800. Its totient is φ = 175146762240.

The previous prime is 729331274857. The next prime is 729331274909. The reversal of 729331274880 is 88472133927.

729331274880 is a `hidden beast` number, since 7 + 2 + 9 + 33 + 127 + 488 + 0 = 666.

It is a super-2 number, since 2×729331274880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9170647 + ... + 9249833.

Almost surely, 2^729331274880 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 729331274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424813846400).

729331274880 is an abundant number, since it is smaller than the sum of its proper divisors (2120296417920).

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

729331274880 is a wasteful number, since it uses less digits than its factorization.

729331274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79269 (or 79251 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 729331274880 in words is "seven hundred twenty-nine billion, three hundred thirty-one million, two hundred seventy-four thousand, eight hundred eighty".