844420680000 has 560 divisors, whose sum is σ = 3118439280000. Its totient is φ = 223990272000.

The previous prime is 844420679983. The next prime is 844420680023. The reversal of 844420680000 is 86024448.

844420680000 is a `hidden beast` number, since 8 + 444 + 206 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×844420680000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214918036 + ... + 214921964.

Almost surely, 2^844420680000 is an apocalyptic number.

844420680000 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 844420680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559219640000).

844420680000 is an abundant number, since it is smaller than the sum of its proper divisors (2274018600000).

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

844420680000 is a wasteful number, since it uses less digits than its factorization.

844420680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 844420680000 in words is "eight hundred forty-four billion, four hundred twenty million, six hundred eighty thousand".