641580065280 has 1920 divisors, whose sum is σ = 3065162031360. Its totient is φ = 125349396480.

The previous prime is 641580065257. The next prime is 641580065351. The reversal of 641580065280 is 82560085146.

641580065280 is a `hidden beast` number, since 6 + 4 + 1 + 580 + 0 + 65 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×641580065280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633346054 + ... + 633347066.

It is an arithmetic number, because the mean of its divisors is an integer number (1596438558).

Almost surely, 2^641580065280 is an apocalyptic number.

641580065280 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 641580065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532581015680).

641580065280 is an abundant number, since it is smaller than the sum of its proper divisors (2423581966080).

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

641580065280 is a wasteful number, since it uses less digits than its factorization.

641580065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 641580065280 in words is "six hundred forty-one billion, five hundred eighty million, sixty-five thousand, two hundred eighty".