678201660900 has 243 divisors, whose sum is σ = 2155543339131. Its totient is φ = 178356833280.

The previous prime is 678201660887. The next prime is 678201660911. The reversal of 678201660900 is 9066102876.

The square root of 678201660900 is 823530.

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

678201660900 is a `hidden beast` number, since 6 + 7 + 8 + 20 + 16 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24936831396 + 653264829504 = 157914^2 + 808248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2396472159 + ... + 2396472441.

Almost surely, 2^678201660900 is an apocalyptic number.

678201660900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

678201660900 is the 823530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678201660900

678201660900 is an abundant number, since it is smaller than the sum of its proper divisors (1477341678231).

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

678201660900 is a wasteful number, since it uses less digits than its factorization.

678201660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 678201660900 in words is "six hundred seventy-eight billion, two hundred one million, six hundred sixty thousand, nine hundred".