729850982016 has 576 divisors, whose sum is σ = 2244731348160. Its totient is φ = 209596907520.

The previous prime is 729850982011. The next prime is 729850982023. The reversal of 729850982016 is 610289058927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (729850982011) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7524236880 + ... + 7524236976.

It is an arithmetic number, because the mean of its divisors is an integer number (3897103035).

Almost surely, 2^729850982016 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 729850982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122365674080).

729850982016 is an abundant number, since it is smaller than the sum of its proper divisors (1514880366144).

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

729850982016 is a wasteful number, since it uses less digits than its factorization.

729850982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 729850982016 in words is "seven hundred twenty-nine billion, eight hundred fifty million, nine hundred eighty-two thousand, sixteen".