641613312 has 180 divisors, whose sum is σ = 1932929856. Its totient is φ = 212751360.

The previous prime is 641613281. The next prime is 641613317. The reversal of 641613312 is 213316146.

641613312 is a `hidden beast` number, since 6 + 41 + 613 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641613317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3359137 + ... + 3359327.

Almost surely, 2^641613312 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 641613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966464928).

641613312 is an abundant number, since it is smaller than the sum of its proper divisors (1291316544).

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

641613312 is an frugal number, since it uses more digits than its factorization.

641613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 641613312 is about 25330.0870902569. The cubic root of 641613312 is about 862.4973882719.

Adding to 641613312 its reverse (213316146), we get a palindrome (854929458).

The spelling of 641613312 in words is "six hundred forty-one million, six hundred thirteen thousand, three hundred twelve".