729088080000 has 320 divisors, whose sum is σ = 2765749926720. Its totient is φ = 166648320000.

The previous prime is 729088079999. The next prime is 729088080029. The reversal of 729088080000 is 80880927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1463010 + ... + 1896990.

It is an arithmetic number, because the mean of its divisors is an integer number (8642968521).

Almost surely, 2^729088080000 is an apocalyptic number.

729088080000 is a gapful number since it is divisible by the number (70) 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 729088080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382874963360).

729088080000 is an abundant number, since it is smaller than the sum of its proper divisors (2036661846720).

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

729088080000 is an equidigital number, since it uses as much as digits as its factorization.

729088080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434025 (or 433998 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

It can be divided in two parts, 7290880 and 80000, that added together give a triangular number (7370880 = T₃₈₃₉).

The spelling of 729088080000 in words is "seven hundred twenty-nine billion, eighty-eight million, eighty thousand".