844539390960 has 320 divisors, whose sum is σ = 2757320663040. Its totient is φ = 213570846720.

The previous prime is 844539390931. The next prime is 844539390967. The reversal of 844539390960 is 69093935448.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 844539390894 and 844539390903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844539390967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74818437 + ... + 74829723.

It is an arithmetic number, because the mean of its divisors is an integer number (8616627072).

Almost surely, 2^844539390960 is an apocalyptic number.

844539390960 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 844539390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378660331520).

844539390960 is an abundant number, since it is smaller than the sum of its proper divisors (1912781272080).

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

844539390960 is a wasteful number, since it uses less digits than its factorization.

844539390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 844539390960 in words is "eight hundred forty-four billion, five hundred thirty-nine million, three hundred ninety thousand, nine hundred sixty".