729327576047616 has 6720 divisors, whose sum is σ = 3089187924996096. Its totient is φ = 166947559833600.

The previous prime is 729327576047537. The next prime is 729327576047699. The reversal of 729327576047616 is 616740675723927.

729327576047616 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 2 + 7 + 5 + 7 + 604 + 7 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 16961106419691 + ... + 16961106419733.

Almost surely, 2^{729327576047616} 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 729327576047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544593962498048).

729327576047616 is an abundant number, since it is smaller than the sum of its proper divisors (2359860348948480).

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

729327576047616 is a wasteful number, since it uses less digits than its factorization.

729327576047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 729327576047616 in words is "seven hundred twenty-nine trillion, three hundred twenty-seven billion, five hundred seventy-six million, forty-seven thousand, six hundred sixteen".