643061198080 has 216 divisors, whose sum is σ = 1811963873160. Its totient is φ = 217998950400.

The previous prime is 643061197997. The next prime is 643061198089. The reversal of 643061198080 is 80891160346.

It can be written as a sum of positive squares in 4 ways, for example, as 18885355776 + 624175842304 = 137424^2 + 790048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 643061198080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643061198089) 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 23 ways as a sum of consecutive naturals, for example, 5524480 + ... + 5639680.

It is an arithmetic number, because the mean of its divisors is an integer number (8388721635).

Almost surely, 2^643061198080 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 643061198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905981936580).

643061198080 is an abundant number, since it is smaller than the sum of its proper divisors (1168902675080).

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

643061198080 is a wasteful number, since it uses less digits than its factorization.

643061198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115325 (or 115304 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

It can be divided in two parts, 6430611 and 98080, that added together give a triangular number (6528691 = T₃₆₁₃).

The spelling of 643061198080 in words is "six hundred forty-three billion, sixty-one million, one hundred ninety-eight thousand, eighty".