822949218720 has 288 divisors, whose sum is σ = 2877936227712. Its totient is φ = 214076307456.

The previous prime is 822949218667. The next prime is 822949218727. The reversal of 822949218720 is 27812949228.

822949218720 is a `hidden beast` number, since 82 + 2 + 9 + 492 + 1 + 8 + 72 + 0 = 666.

822949218720 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 (288).

It is not an unprimeable number, because it can be changed into a prime (822949218727) 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, 9896034 + ... + 9978846.

It is an arithmetic number, because the mean of its divisors is an integer number (9992834124).

Almost surely, 2^822949218720 is an apocalyptic number.

822949218720 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 822949218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438968113856).

822949218720 is an abundant number, since it is smaller than the sum of its proper divisors (2054987008992).

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

822949218720 is a wasteful number, since it uses less digits than its factorization.

822949218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83004 (or 82993 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 822949218720 in words is "eight hundred twenty-two billion, nine hundred forty-nine million, two hundred eighteen thousand, seven hundred twenty".