722561160960 has 432 divisors, whose sum is σ = 2629173980160. Its totient is φ = 189963325440.

The previous prime is 722561160949. The next prime is 722561160961. The reversal of 722561160960 is 69061165227.

722561160960 is a `hidden beast` number, since 7 + 2 + 25 + 6 + 11 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722561160961) 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, 22067481 + ... + 22100199.

It is an arithmetic number, because the mean of its divisors is an integer number (6086050880).

Almost surely, 2^722561160960 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 722561160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314586990080).

722561160960 is an abundant number, since it is smaller than the sum of its proper divisors (1906612819200).

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

722561160960 is an equidigital number, since it uses as much as digits as its factorization.

722561160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32826 (or 32800 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 722561160960 in words is "seven hundred twenty-two billion, five hundred sixty-one million, one hundred sixty thousand, nine hundred sixty".