844946786880 has 896 divisors, whose sum is σ = 3597790924800. Its totient is φ = 182360014848.

The previous prime is 844946786867. The next prime is 844946786881. The reversal of 844946786880 is 88687649448.

844946786880 is a `hidden beast` number, since 8 + 4 + 4 + 9 + 467 + 86 + 8 + 80 = 666.

It is a super-2 number, since 2×844946786880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 844946786799 and 844946786808.

It is not an unprimeable number, because it can be changed into a prime (844946786881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405638319 + ... + 405640401.

Almost surely, 2^844946786880 is an apocalyptic number.

844946786880 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 844946786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798895462400).

844946786880 is an abundant number, since it is smaller than the sum of its proper divisors (2752844137920).

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

844946786880 is a wasteful number, since it uses less digits than its factorization.

844946786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 844946786880 in words is "eight hundred forty-four billion, nine hundred forty-six million, seven hundred eighty-six thousand, eight hundred eighty".