844381200960 has 672 divisors, whose sum is σ = 3342557013120. Its totient is φ = 193491763200.

The previous prime is 844381200931. The next prime is 844381200977. The reversal of 844381200960 is 69002183448.

It is a happy number.

844381200960 is a `hidden beast` number, since 8 + 4 + 4 + 381 + 200 + 9 + 60 = 666.

It is a super-2 number, since 2×844381200960² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325637424 + ... + 325640016.

Almost surely, 2^844381200960 is an apocalyptic number.

844381200960 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 844381200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671278506560).

844381200960 is an abundant number, since it is smaller than the sum of its proper divisors (2498175812160).

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

844381200960 is a wasteful number, since it uses less digits than its factorization.

844381200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 844381200960 in words is "eight hundred forty-four billion, three hundred eighty-one million, two hundred thousand, nine hundred sixty".