724992438016 has 288 divisors, whose sum is σ = 1839482265600. Its totient is φ = 276972810240.

The previous prime is 724992437977. The next prime is 724992438059. The reversal of 724992438016 is 610834299427.

It is a super-2 number, since 2×724992438016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864114525 + ... + 864115363.

It is an arithmetic number, because the mean of its divisors is an integer number (6387091200).

Almost surely, 2^724992438016 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 724992438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919741132800).

724992438016 is an abundant number, since it is smaller than the sum of its proper divisors (1114489827584).

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

724992438016 is a wasteful number, since it uses less digits than its factorization.

724992438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 724992438016 in words is "seven hundred twenty-four billion, nine hundred ninety-two million, four hundred thirty-eight thousand, sixteen".