822771948324480 has 3072 divisors, whose sum is σ = 3719851153920000. Its totient is φ = 152008190853120.

The previous prime is 822771948324457. The next prime is 822771948324493. The reversal of 822771948324480 is 84423849177228.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 124681304221 + ... + 124681310819.

It is an arithmetic number, because the mean of its divisors is an integer number (1210889047500).

Almost surely, 2^{822771948324480} is an apocalyptic number.

822771948324480 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 822771948324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859925576960000).

822771948324480 is an abundant number, since it is smaller than the sum of its proper divisors (2897079205595520).

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

822771948324480 is a wasteful number, since it uses less digits than its factorization.

822771948324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 69.

The spelling of 822771948324480 in words is "eight hundred twenty-two trillion, seven hundred seventy-one billion, nine hundred forty-eight million, three hundred twenty-four thousand, four hundred eighty".