641064144 has 80 divisors (see below), whose sum is σ = 1916702720. Its totient is φ = 180835200.

The previous prime is 641064143. The next prime is 641064157. The reversal of 641064144 is 441460146.

641064144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641064143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14469 + ... + 38619.

It is an arithmetic number, because the mean of its divisors is an integer number (23958784).

Almost surely, 2^641064144 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 641064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958351360).

641064144 is an abundant number, since it is smaller than the sum of its proper divisors (1275638576).

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

641064144 is a wasteful number, since it uses less digits than its factorization.

641064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24248 (or 24242 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 641064144 is about 25319.2445384928. The cubic root of 641064144 is about 862.2512425234.

The spelling of 641064144 in words is "six hundred forty-one million, sixty-four thousand, one hundred forty-four".