729971118720 has 320 divisors, whose sum is σ = 2632187226240. Its totient is φ = 192767662080.

The previous prime is 729971118713. The next prime is 729971118743. The reversal of 729971118720 is 27811179927.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 39 ways as a sum of consecutive naturals, for example, 5271165 + ... + 5407875.

It is an arithmetic number, because the mean of its divisors is an integer number (8225585082).

Almost surely, 2^729971118720 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 729971118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316093613120).

729971118720 is an abundant number, since it is smaller than the sum of its proper divisors (1902216107520).

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

729971118720 is a wasteful number, since it uses less digits than its factorization.

729971118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136845 (or 136824 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 729971118720 in words is "seven hundred twenty-nine billion, nine hundred seventy-one million, one hundred eighteen thousand, seven hundred twenty".