641282886720 has 1344 divisors, whose sum is σ = 2805455278080. Its totient is φ = 131076734976.

The previous prime is 641282886683. The next prime is 641282886721. The reversal of 641282886720 is 27688282146.

641282886720 is a `hidden beast` number, since 6 + 412 + 82 + 8 + 86 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×641282886720² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641282886721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 731222922 + ... + 731223798.

It is an arithmetic number, because the mean of its divisors is an integer number (2087392320).

Almost surely, 2^641282886720 is an apocalyptic number.

641282886720 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 641282886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402727639040).

641282886720 is an abundant number, since it is smaller than the sum of its proper divisors (2164172391360).

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

641282886720 is a wasteful number, since it uses less digits than its factorization.

641282886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 641282886720 in words is "six hundred forty-one billion, two hundred eighty-two million, eight hundred eighty-six thousand, seven hundred twenty".