641940848640 has 1440 divisors, whose sum is σ = 2873733033600. Its totient is φ = 129553661952.

The previous prime is 641940848597. The next prime is 641940848669. The reversal of 641940848640 is 46848049146.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27910471669 + ... + 27910471691.

It is an arithmetic number, because the mean of its divisors is an integer number (1995647940).

Almost surely, 2^641940848640 is an apocalyptic number.

641940848640 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 641940848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436866516800).

641940848640 is an abundant number, since it is smaller than the sum of its proper divisors (2231792184960).

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

641940848640 is an equidigital number, since it uses as much as digits as its factorization.

641940848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 641940848640 in words is "six hundred forty-one billion, nine hundred forty million, eight hundred forty-eight thousand, six hundred forty".