641811438688 has 192 divisors, whose sum is σ = 1486359383040. Its totient is φ = 267144192000.

The previous prime is 641811438677. The next prime is 641811438713. The reversal of 641811438688 is 886834118146.

641811438688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641811438688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793338828 + ... + 793339636.

It is an arithmetic number, because the mean of its divisors is an integer number (7741455120).

Almost surely, 2^641811438688 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 641811438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743179691520).

641811438688 is an abundant number, since it is smaller than the sum of its proper divisors (844547944352).

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

641811438688 is a wasteful number, since it uses less digits than its factorization.

641811438688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 58.

The spelling of 641811438688 in words is "six hundred forty-one billion, eight hundred eleven million, four hundred thirty-eight thousand, six hundred eighty-eight".