641784235680 has 288 divisors, whose sum is σ = 2583700374528. Its totient is φ = 141961420800.

The previous prime is 641784235679. The next prime is 641784235709. The reversal of 641784235680 is 86532487146.

It is a happy number.

641784235680 is a `hidden beast` number, since 6 + 4 + 1 + 78 + 4 + 2 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 714441 + ... + 1339400.

It is an arithmetic number, because the mean of its divisors is an integer number (8971181856).

Almost surely, 2^641784235680 is an apocalyptic number.

641784235680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641784235680 is an abundant number, since it is smaller than the sum of its proper divisors (1941916138848).

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

641784235680 is a wasteful number, since it uses less digits than its factorization.

641784235680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053900 (or 2053889 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 641784235680 in words is "six hundred forty-one billion, seven hundred eighty-four million, two hundred thirty-five thousand, six hundred eighty".