643642482816 has 192 divisors, whose sum is σ = 1944306374400. Its totient is φ = 204106844160.

The previous prime is 643642482809. The next prime is 643642482841. The reversal of 643642482816 is 618284246346.

It is a happy number.

643642482816 is a `hidden beast` number, since 6 + 4 + 364 + 248 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954270 + ... + 2259746.

It is an arithmetic number, because the mean of its divisors is an integer number (10126595700).

Almost surely, 2^643642482816 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 643642482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972153187200).

643642482816 is an abundant number, since it is smaller than the sum of its proper divisors (1300663891584).

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

643642482816 is a wasteful number, since it uses less digits than its factorization.

643642482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305587 (or 305572 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 643642482816 in words is "six hundred forty-three billion, six hundred forty-two million, four hundred eighty-two thousand, eight hundred sixteen".