729533935104 has 160 divisors (see below), whose sum is σ = 2104729038720. Its totient is φ = 223216852992.

The previous prime is 729533935103. The next prime is 729533935129. The reversal of 729533935104 is 401539335927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729533935103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3472219 + ... + 3676325.

It is an arithmetic number, because the mean of its divisors is an integer number (13154556492).

Almost surely, 2^729533935104 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 729533935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052364519360).

729533935104 is an abundant number, since it is smaller than the sum of its proper divisors (1375195103616).

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

729533935104 is a wasteful number, since it uses less digits than its factorization.

729533935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204320 (or 204304 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 729533935104 in words is "seven hundred twenty-nine billion, five hundred thirty-three million, nine hundred thirty-five thousand, one hundred four".