724416244877696 has 768 divisors, whose sum is σ = 1826224032931200. Its totient is φ = 284786933760000.

The previous prime is 724416244877693. The next prime is 724416244877729. The reversal of 724416244877696 is 696778442614427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724416244877693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45945082805 + ... + 45945098571.

Almost surely, 2^{724416244877696} 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 724416244877696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913112016465600).

724416244877696 is an abundant number, since it is smaller than the sum of its proper divisors (1101807788053504).

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

724416244877696 is a wasteful number, since it uses less digits than its factorization.

724416244877696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16008 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 77.

The spelling of 724416244877696 in words is "seven hundred twenty-four trillion, four hundred sixteen billion, two hundred forty-four million, eight hundred seventy-seven thousand, six hundred ninety-six".