682986544900 has 135 divisors (see below), whose sum is σ = 1632669192805. Its totient is φ = 247995114400.

The previous prime is 682986544861. The next prime is 682986544909. The reversal of 682986544900 is 9445689286.

The square root of 682986544900 is 826430.

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

It can be written as a sum of positive squares in only one way, i.e., 245875156164 + 437111388736 = 495858^2 + 661144^2 .

It is not an unprimeable number, because it can be changed into a prime (682986544909) 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 44 ways as a sum of consecutive naturals, for example, 999979959 + ... + 999980641.

Almost surely, 2^682986544900 is an apocalyptic number.

682986544900 is the 826430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682986544900

682986544900 is an abundant number, since it is smaller than the sum of its proper divisors (949682647905).

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

682986544900 is an frugal number, since it uses more digits than its factorization.

682986544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 682986544900 in words is "six hundred eighty-two billion, nine hundred eighty-six million, five hundred forty-four thousand, nine hundred".