606778681600 has 729 divisors, whose sum is σ = 1909649452347. Its totient is φ = 190240727040.

The previous prime is 606778681589. The next prime is 606778681601. The reversal of 606778681600 is 6186877606.

The square root of 606778681600 is 778960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156398102784 + 450380578816 = 395472^2 + 671104^2 .

It is not an unprimeable number, because it can be changed into a prime (606778681601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5670828747 + ... + 5670828853.

Almost surely, 2^606778681600 is an apocalyptic number.

606778681600 is the 778960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606778681600

606778681600 is an abundant number, since it is smaller than the sum of its proper divisors (1302870770747).

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

606778681600 is a wasteful number, since it uses less digits than its factorization.

606778681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 606778681600 in words is "six hundred six billion, seven hundred seventy-eight million, six hundred eighty-one thousand, six hundred".