641639335680 has 1080 divisors, whose sum is σ = 2722277460672. Its totient is φ = 143832858624.

The previous prime is 641639335663. The next prime is 641639335703. The reversal of 641639335680 is 86533936146.

641639335680 is a `hidden beast` number, since 6 + 4 + 16 + 39 + 33 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 269255769 + ... + 269258151.

Almost surely, 2^641639335680 is an apocalyptic number.

641639335680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641639335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361138730336).

641639335680 is an abundant number, since it is smaller than the sum of its proper divisors (2080638124992).

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

641639335680 is a wasteful number, since it uses less digits than its factorization.

641639335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 641639335680 in words is "six hundred forty-one billion, six hundred thirty-nine million, three hundred thirty-five thousand, six hundred eighty".