641782113128 has 256 divisors, whose sum is σ = 1403235187200. Its totient is φ = 272910274560.

The previous prime is 641782113113. The next prime is 641782113157. The reversal of 641782113128 is 821311287146.

641782113128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2385806978 + ... + 2385807246.

It is an arithmetic number, because the mean of its divisors is an integer number (5481387450).

Almost surely, 2^641782113128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641782113128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701617593600).

641782113128 is an abundant number, since it is smaller than the sum of its proper divisors (761453074072).

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

641782113128 is a wasteful number, since it uses less digits than its factorization.

641782113128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The spelling of 641782113128 in words is "six hundred forty-one billion, seven hundred eighty-two million, one hundred thirteen thousand, one hundred twenty-eight".