844822275840 has 432 divisors, whose sum is σ = 3051767628000. Its totient is φ = 223761678336.

The previous prime is 844822275839. The next prime is 844822275863. The reversal of 844822275840 is 48572228448.

It is a happy number.

844822275840 is a `hidden beast` number, since 84 + 482 + 2 + 2 + 7 + 5 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 46335846 + ... + 46354074.

Almost surely, 2^844822275840 is an apocalyptic number.

844822275840 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 844822275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525883814000).

844822275840 is an abundant number, since it is smaller than the sum of its proper divisors (2206945352160).

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

844822275840 is a wasteful number, since it uses less digits than its factorization.

844822275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 844822275840 in words is "eight hundred forty-four billion, eight hundred twenty-two million, two hundred seventy-five thousand, eight hundred forty".