206079000660 has 384 divisors, whose sum is σ = 708139031040. Its totient is φ = 49443913728.

The previous prime is 206079000641. The next prime is 206079000661. The reversal of 206079000660 is 66000970602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206079000661) 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 127 ways as a sum of consecutive naturals, for example, 45620722 + ... + 45625238.

It is an arithmetic number, because the mean of its divisors is an integer number (1844112060).

Almost surely, 2^206079000660 is an apocalyptic number.

206079000660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206079000660 is the 226980-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206079000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354069515520).

206079000660 is an abundant number, since it is smaller than the sum of its proper divisors (502060030380).

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

206079000660 is a wasteful number, since it uses less digits than its factorization.

206079000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 206079000660 in words is "two hundred six billion, seventy-nine million, six hundred sixty", and thus it is an aban number.