840555117696 has 384 divisors, whose sum is σ = 2791895921280. Its totient is φ = 218728857600.

The previous prime is 840555117667. The next prime is 840555117737. The reversal of 840555117696 is 696711555048.

840555117696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43904286 + ... + 43923426.

It is an arithmetic number, because the mean of its divisors is an integer number (7270562295).

Almost surely, 2^840555117696 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 840555117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395947960640).

840555117696 is an abundant number, since it is smaller than the sum of its proper divisors (1951340803584).

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

840555117696 is a wasteful number, since it uses less digits than its factorization.

840555117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19244 (or 19201 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 840555117696 in words is "eight hundred forty billion, five hundred fifty-five million, one hundred seventeen thousand, six hundred ninety-six".