729912282912 has 270 divisors, whose sum is σ = 2181620431683. Its totient is φ = 239403921408.

The previous prime is 729912282901. The next prime is 729912282959. The reversal of 729912282912 is 219282219927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 641082056976 + 88830225936 = 800676^2 + 298044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=604116.

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 44 ways as a sum of consecutive naturals, for example, 4219146058 + ... + 4219146230.

Almost surely, 2^729912282912 is an apocalyptic number.

729912282912 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 729912282912

729912282912 is an abundant number, since it is smaller than the sum of its proper divisors (1451708148771).

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

729912282912 is an frugal number, since it uses more digits than its factorization.

729912282912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 275 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 729912282912 in words is "seven hundred twenty-nine billion, nine hundred twelve million, two hundred eighty-two thousand, nine hundred twelve".