641063808000 has 2640 divisors, whose sum is σ = 3042293846592. Its totient is φ = 131383296000.

The previous prime is 641063807981. The next prime is 641063808031. The reversal of 641063808000 is 808360146.

It is a happy number.

641063808000 is a `hidden beast` number, since 6 + 4 + 10 + 638 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8781695964 + ... + 8781696036.

Almost surely, 2^641063808000 is an apocalyptic number.

641063808000 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 641063808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521146923296).

641063808000 is an abundant number, since it is smaller than the sum of its proper divisors (2401230038592).

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

641063808000 is a wasteful number, since it uses less digits than its factorization.

641063808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 641063808000 in words is "six hundred forty-one billion, sixty-three million, eight hundred eight thousand".