844628502760 has 128 divisors (see below), whose sum is σ = 2242082177280. Its totient is φ = 280348766208.

The previous prime is 844628502733. The next prime is 844628502779. The reversal of 844628502760 is 67205826448.

It is a junction number, because it is equal to n+sod(n) for n = 844628502698 and 844628502707.

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 31 ways as a sum of consecutive naturals, for example, 1050114 + ... + 1670926.

It is an arithmetic number, because the mean of its divisors is an integer number (17516267010).

Almost surely, 2^844628502760 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 844628502760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121041088640).

844628502760 is an abundant number, since it is smaller than the sum of its proper divisors (1397453674520).

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

844628502760 is a wasteful number, since it uses less digits than its factorization.

844628502760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620987 (or 620983 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 844628502760 in words is "eight hundred forty-four billion, six hundred twenty-eight million, five hundred two thousand, seven hundred sixty".