643884488346 has 256 divisors, whose sum is σ = 1556103757824. Its totient is φ = 175344000000.

The previous prime is 643884488341. The next prime is 643884488371.

643884488346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (643884488341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1143666661 + ... + 1143667223.

It is an arithmetic number, because the mean of its divisors is an integer number (6078530304).

Almost surely, 2^643884488346 is an apocalyptic number.

643884488346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 643884488346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778051878912).

643884488346 is an abundant number, since it is smaller than the sum of its proper divisors (912219269478).

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

643884488346 is a wasteful number, since it uses less digits than its factorization.

643884488346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009.

The product of its digits is 339738624, while the sum is 66.

The spelling of 643884488346 in words is "six hundred forty-three billion, eight hundred eighty-four million, four hundred eighty-eight thousand, three hundred forty-six".