641208960000 has 2640 divisors, whose sum is σ = 2979478261760. Its totient is φ = 134369280000.

The previous prime is 641208959987. The next prime is 641208960013. The reversal of 641208960000 is 69802146.

641208960000 is a `hidden beast` number, since 6 + 41 + 2 + 0 + 8 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641208959987) and next prime (641208960013).

It is a super-2 number, since 2×641208960000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20684159985 + ... + 20684160015.

Almost surely, 2^641208960000 is an apocalyptic number.

641208960000 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 641208960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489739130880).

641208960000 is an abundant number, since it is smaller than the sum of its proper divisors (2338269301760).

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

641208960000 is an equidigital number, since it uses as much as digits as its factorization.

641208960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 641208960000 in words is "six hundred forty-one billion, two hundred eight million, nine hundred sixty thousand".