729035873280 has 1760 divisors, whose sum is σ = 3235703708160. Its totient is φ = 154315653120.

The previous prime is 729035873249. The next prime is 729035873317. The reversal of 729035873280 is 82378530927.

729035873280 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 358 + 7 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 1126793917 + ... + 1126794563.

It is an arithmetic number, because the mean of its divisors is an integer number (1838468016).

Almost surely, 2^729035873280 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 729035873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617851854080).

729035873280 is an abundant number, since it is smaller than the sum of its proper divisors (2506667834880).

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

729035873280 is a wasteful number, since it uses less digits than its factorization.

729035873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 729035873280 in words is "seven hundred twenty-nine billion, thirty-five million, eight hundred seventy-three thousand, two hundred eighty".