729671129856 has 216 divisors, whose sum is σ = 2254424281200. Its totient is φ = 226157395968.

The previous prime is 729671129821. The next prime is 729671129899. The reversal of 729671129856 is 658921176927.

729671129856 is a `hidden beast` number, since 7 + 296 + 7 + 1 + 1 + 298 + 56 = 666.

It is a super-2 number, since 2×729671129856² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 729671129793 and 729671129802.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3138720 + ... + 3363168.

It is an arithmetic number, because the mean of its divisors is an integer number (10437149450).

Almost surely, 2^729671129856 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 729671129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127212140600).

729671129856 is an abundant number, since it is smaller than the sum of its proper divisors (1524753151344).

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

729671129856 is a wasteful number, since it uses less digits than its factorization.

729671129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224571 (or 224554 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 729671129856 in words is "seven hundred twenty-nine billion, six hundred seventy-one million, one hundred twenty-nine thousand, eight hundred fifty-six".