822109476864 has 384 divisors, whose sum is σ = 2579949066240. Its totient is φ = 230385254400.

The previous prime is 822109476863. The next prime is 822109476919. The reversal of 822109476864 is 468674901228.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822109476863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42082779 + ... + 42102309.

It is an arithmetic number, because the mean of its divisors is an integer number (6718617360).

Almost surely, 2^822109476864 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 822109476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289974533120).

822109476864 is an abundant number, since it is smaller than the sum of its proper divisors (1757839589376).

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

822109476864 is a wasteful number, since it uses less digits than its factorization.

822109476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617 (or 19597 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 822109476864 in words is "eight hundred twenty-two billion, one hundred nine million, four hundred seventy-six thousand, eight hundred sixty-four".