843782496960 has 336 divisors, whose sum is σ = 3027080381184. Its totient is φ = 198668980224.

The previous prime is 843782496943. The next prime is 843782496967. The reversal of 843782496960 is 69694287348.

It is a junction number, because it is equal to n+sod(n) for n = 843782496891 and 843782496900.

It is not an unprimeable number, because it can be changed into a prime (843782496967) by changing a digit.

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, 3618459 + ... + 3844581.

Almost surely, 2^843782496960 is an apocalyptic number.

843782496960 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 843782496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513540190592).

843782496960 is an abundant number, since it is smaller than the sum of its proper divisors (2183297884224).

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

843782496960 is a wasteful number, since it uses less digits than its factorization.

843782496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226192 (or 226169 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 843782496960 in words is "eight hundred forty-three billion, seven hundred eighty-two million, four hundred ninety-six thousand, nine hundred sixty".