206675785008 has 640 divisors, whose sum is σ = 777321676800. Its totient is φ = 50979456000.

The previous prime is 206675784961. The next prime is 206675785027. The reversal of 206675785008 is 800587576602.

206675785008 is a `hidden beast` number, since 2 + 0 + 6 + 67 + 5 + 78 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 115524978 + ... + 115526766.

It is an arithmetic number, because the mean of its divisors is an integer number (1214565120).

Almost surely, 2^206675785008 is an apocalyptic number.

206675785008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206675785008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388660838400).

206675785008 is an abundant number, since it is smaller than the sum of its proper divisors (570645891792).

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

206675785008 is a wasteful number, since it uses less digits than its factorization.

206675785008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 206675785008 in words is "two hundred six billion, six hundred seventy-five million, seven hundred eighty-five thousand, eight".