721729011744 has 288 divisors, whose sum is σ = 2288999591424. Its totient is φ = 214209515520.

The previous prime is 721729011737. The next prime is 721729011749. The reversal of 721729011744 is 447110927127.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 721729011744.

It is not an unprimeable number, because it can be changed into a prime (721729011749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36318099 + ... + 36337965.

It is an arithmetic number, because the mean of its divisors is an integer number (7947915248).

Almost surely, 2^721729011744 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 721729011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144499795712).

721729011744 is an abundant number, since it is smaller than the sum of its proper divisors (1567270579680).

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

721729011744 is a wasteful number, since it uses less digits than its factorization.

721729011744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20240 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 721729011744 in words is "seven hundred twenty-one billion, seven hundred twenty-nine million, eleven thousand, seven hundred forty-four".