641064086856 has 256 divisors, whose sum is σ = 1909522252800. Its totient is φ = 198567936000.

The previous prime is 641064086813. The next prime is 641064086857. The reversal of 641064086856 is 658680460146.

It is a super-2 number, since 2×641064086856² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (641064086857) 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 63 ways as a sum of consecutive naturals, for example, 112444806 + ... + 112450506.

It is an arithmetic number, because the mean of its divisors is an integer number (7459071300).

Almost surely, 2^641064086856 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 641064086856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954761126400).

641064086856 is an abundant number, since it is smaller than the sum of its proper divisors (1268458165944).

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

641064086856 is a wasteful number, since it uses less digits than its factorization.

641064086856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 641064086856 in words is "six hundred forty-one billion, sixty-four million, eighty-six thousand, eight hundred fifty-six".