840844001664 has 320 divisors, whose sum is σ = 2636606649600. Its totient is φ = 265271086080.

The previous prime is 840844001597. The next prime is 840844001687. The reversal of 840844001664 is 466100448048.

840844001664 is a `hidden beast` number, since 8 + 4 + 0 + 84 + 400 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363843069 + ... + 363845379.

It is an arithmetic number, because the mean of its divisors is an integer number (8239395780).

Almost surely, 2^840844001664 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 840844001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318303324800).

840844001664 is an abundant number, since it is smaller than the sum of its proper divisors (1795762647936).

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

840844001664 is a wasteful number, since it uses less digits than its factorization.

840844001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 840844001664 in words is "eight hundred forty billion, eight hundred forty-four million, one thousand, six hundred sixty-four".