729169084560 has 480 divisors, whose sum is σ = 2732547605760. Its totient is φ = 157543170048.

The previous prime is 729169084543. The next prime is 729169084591. The reversal of 729169084560 is 65480961927.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 729169084560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345086064 + ... + 345088176.

It is an arithmetic number, because the mean of its divisors is an integer number (5692807512).

Almost surely, 2^729169084560 is an apocalyptic number.

729169084560 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 729169084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366273802880).

729169084560 is an abundant number, since it is smaller than the sum of its proper divisors (2003378521200).

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

729169084560 is a wasteful number, since it uses less digits than its factorization.

729169084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 729169084560 in words is "seven hundred twenty-nine billion, one hundred sixty-nine million, eighty-four thousand, five hundred sixty".