641835648 has 192 divisors, whose sum is σ = 1924715520. Its totient is φ = 205148160.

The previous prime is 641835643. The next prime is 641835757. The reversal of 641835648 is 846538146.

641835648 is a `hidden beast` number, since 6 + 4 + 1 + 83 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (641835641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5053761 + ... + 5053887.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^641835648 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 641835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

641835648 is an abundant number, since it is smaller than the sum of its proper divisors (1282879872).

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

641835648 is a wasteful number, since it uses less digits than its factorization.

641835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 641835648 is about 25334.4754830251. The cubic root of 641835648 is about 862.5970028266.

The spelling of 641835648 in words is "six hundred forty-one million, eight hundred thirty-five thousand, six hundred forty-eight".