729552966912 has 648 divisors, whose sum is σ = 2723732461632. Its totient is φ = 189460684800.

The previous prime is 729552966893. The next prime is 729552966943. The reversal of 729552966912 is 219669255927.

729552966912 is a `hidden beast` number, since 7 + 2 + 9 + 552 + 9 + 6 + 69 + 12 = 666.

729552966912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 729552966912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129327612 + ... + 129333252.

Almost surely, 2^729552966912 is an apocalyptic number.

729552966912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729552966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361866230816).

729552966912 is an abundant number, since it is smaller than the sum of its proper divisors (1994179494720).

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

729552966912 is an frugal number, since it uses more digits than its factorization.

729552966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5664 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 729552966912 in words is "seven hundred twenty-nine billion, five hundred fifty-two million, nine hundred sixty-six thousand, nine hundred twelve".