822227567040 has 672 divisors, whose sum is σ = 3157575063552. Its totient is φ = 194688000000.

The previous prime is 822227566969. The next prime is 822227567087. The reversal of 822227567040 is 40765722228.

822227567040 is a `hidden beast` number, since 8 + 2 + 22 + 27 + 567 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 421438065 + ... + 421440015.

It is an arithmetic number, because the mean of its divisors is an integer number (4698772416).

Almost surely, 2^822227567040 is an apocalyptic number.

822227567040 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 822227567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578787531776).

822227567040 is an abundant number, since it is smaller than the sum of its proper divisors (2335347496512).

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

822227567040 is a wasteful number, since it uses less digits than its factorization.

822227567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 822227567040 in words is "eight hundred twenty-two billion, two hundred twenty-seven million, five hundred sixty-seven thousand, forty".