641385078080 has 112 divisors (see below), whose sum is σ = 1590066040080. Its totient is φ = 246200352768.

The previous prime is 641385078073. The next prime is 641385078083. The reversal of 641385078080 is 80870583146.

It can be written as a sum of positive squares in 8 ways, for example, as 7628974336 + 633756103744 = 87344^2 + 796088^2 .

It is a super-2 number, since 2×641385078080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641385078083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493286 + ... + 1235354.

It is an arithmetic number, because the mean of its divisors is an integer number (14197018215).

Almost surely, 2^641385078080 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 641385078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795033020040).

641385078080 is an abundant number, since it is smaller than the sum of its proper divisors (948680962000).

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

641385078080 is a wasteful number, since it uses less digits than its factorization.

641385078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742196 (or 742186 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 641385078080 in words is "six hundred forty-one billion, three hundred eighty-five million, seventy-eight thousand, eighty".