844210560816 has 640 divisors, whose sum is σ = 3003906785280. Its totient is φ = 221709312000.

The previous prime is 844210560799. The next prime is 844210560833. The reversal of 844210560816 is 618065012448.

It is a happy number.

844210560816 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 1 + 0 + 560 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (844210560799) and next prime (844210560833).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325571616 + ... + 325574208.

It is an arithmetic number, because the mean of its divisors is an integer number (4693604352).

Almost surely, 2^844210560816 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 844210560816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501953392640).

844210560816 is an abundant number, since it is smaller than the sum of its proper divisors (2159696224464).

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

844210560816 is a wasteful number, since it uses less digits than its factorization.

844210560816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 844210560816 in words is "eight hundred forty-four billion, two hundred ten million, five hundred sixty thousand, eight hundred sixteen".