852722646720 has 448 divisors, whose sum is σ = 3126615966720. Its totient is φ = 192874954752.

The previous prime is 852722646689. The next prime is 852722646859. The reversal of 852722646720 is 27646227258.

It is a happy number.

852722646720 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 (448).

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, 266224639 + ... + 266227841.

Almost surely, 2^852722646720 is an apocalyptic number.

852722646720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852722646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563307983360).

852722646720 is an abundant number, since it is smaller than the sum of its proper divisors (2273893320000).

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

852722646720 is a wasteful number, since it uses less digits than its factorization.

852722646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 852722646720 in words is "eight hundred fifty-two billion, seven hundred twenty-two million, six hundred forty-six thousand, seven hundred twenty".