722924913844224 has 2688 divisors, whose sum is σ = 2706354753822720. Its totient is φ = 181936403251200.

The previous prime is 722924913844163. The next prime is 722924913844241. The reversal of 722924913844224 is 422448319429227.

722924913844224 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 2 + 491 + 3 + 84 + 42 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4604617285554 + ... + 4604617285710.

It is an arithmetic number, because the mean of its divisors is an integer number (1006828405440).

Almost surely, 2^{722924913844224} 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 722924913844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353177376911360).

722924913844224 is an abundant number, since it is smaller than the sum of its proper divisors (1983429839978496).

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

722924913844224 is a wasteful number, since it uses less digits than its factorization.

722924913844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 344 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 722924913844224 in words is "seven hundred twenty-two trillion, nine hundred twenty-four billion, nine hundred thirteen million, eight hundred forty-four thousand, two hundred twenty-four".