641565999360 has 1152 divisors, whose sum is σ = 2737795737600. Its totient is φ = 140181995520.

The previous prime is 641565999341. The next prime is 641565999367. The reversal of 641565999360 is 63999565146.

641565999360 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 6 + 599 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (641565999367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212507931 + ... + 212510949.

It is an arithmetic number, because the mean of its divisors is an integer number (2376558800).

Almost surely, 2^641565999360 is an apocalyptic number.

641565999360 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 641565999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368897868800).

641565999360 is an abundant number, since it is smaller than the sum of its proper divisors (2096229738240).

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

641565999360 is a wasteful number, since it uses less digits than its factorization.

641565999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 641565999360 in words is "six hundred forty-one billion, five hundred sixty-five million, nine hundred ninety-nine thousand, three hundred sixty".