841601568960 has 224 divisors, whose sum is σ = 2969810265600. Its totient is φ = 224364579840.

The previous prime is 841601568919. The next prime is 841601568971. The reversal of 841601568960 is 69865106148.

841601568960 is a `hidden beast` number, since 8 + 4 + 16 + 0 + 1 + 568 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 841601568897 and 841601568906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36786325 + ... + 36809195.

Almost surely, 2^841601568960 is an apocalyptic number.

841601568960 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 841601568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484905132800).

841601568960 is an abundant number, since it is smaller than the sum of its proper divisors (2128208696640).

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

841601568960 is a wasteful number, since it uses less digits than its factorization.

841601568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27156 (or 27140 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 841601568960 in words is "eight hundred forty-one billion, six hundred one million, five hundred sixty-eight thousand, nine hundred sixty".