722851406740224 has 576 divisors, whose sum is σ = 2223396424972800. Its totient is φ = 231475134578688.

The previous prime is 722851406740187. The next prime is 722851406740237. The reversal of 722851406740224 is 422047604158227.

722851406740224 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 5 + 1 + 406 + 7 + 4 + 0 + 224 = 666.

722851406740224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13003469422 + ... + 13003525010.

It is an arithmetic number, because the mean of its divisors is an integer number (3860063237800).

Almost surely, 2^{722851406740224} 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 722851406740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111698212486400).

722851406740224 is an abundant number, since it is smaller than the sum of its proper divisors (1500545018232576).

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

722851406740224 is a wasteful number, since it uses less digits than its factorization.

722851406740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56377 (or 56357 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 722851406740224 in words is "seven hundred twenty-two trillion, eight hundred fifty-one billion, four hundred six million, seven hundred forty thousand, two hundred twenty-four".