840959446433568 has 768 divisors, whose sum is σ = 2843916315770880. Its totient is φ = 211294241280000.

The previous prime is 840959446433543. The next prime is 840959446433569. The reversal of 840959446433568 is 865334644959048.

It is a junction number, because it is equal to n+sod(n) for n = 840959446433493 and 840959446433502.

It is not an unprimeable number, because it can be changed into a prime (840959446433569) 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, 9085808346 + ... + 9085900902.

It is an arithmetic number, because the mean of its divisors is an integer number (3703016036160).

Almost surely, 2^{840959446433568} is an apocalyptic number.

840959446433568 is a gapful number since it is divisible by the number (88) 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 840959446433568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421958157885440).

840959446433568 is an abundant number, since it is smaller than the sum of its proper divisors (2002956869337312).

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

840959446433568 is a wasteful number, since it uses less digits than its factorization.

840959446433568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92981 (or 92973 counting only the distinct ones).

The product of its (nonzero) digits is 10749542400, while the sum is 78.

The spelling of 840959446433568 in words is "eight hundred forty trillion, nine hundred fifty-nine billion, four hundred forty-six million, four hundred thirty-three thousand, five hundred sixty-eight".