641258795520 has 1280 divisors, whose sum is σ = 2690364948480. Its totient is φ = 141750632448.

The previous prime is 641258795519. The next prime is 641258795543. The reversal of 641258795520 is 25597852146.

641258795520 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 5 + 87 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×641258795520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3706698154 + ... + 3706698326.

It is an arithmetic number, because the mean of its divisors is an integer number (2101847616).

Almost surely, 2^641258795520 is an apocalyptic number.

641258795520 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 641258795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345182474240).

641258795520 is an abundant number, since it is smaller than the sum of its proper divisors (2049106152960).

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

641258795520 is a wasteful number, since it uses less digits than its factorization.

641258795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 641258795520 in words is "six hundred forty-one billion, two hundred fifty-eight million, seven hundred ninety-five thousand, five hundred twenty".