206755121664 has 960 divisors, whose sum is σ = 764643559680. Its totient is φ = 52340981760.

The previous prime is 206755121659. The next prime is 206755121689. The reversal of 206755121664 is 466121557602.

206755121664 is a `hidden beast` number, since 2 + 0 + 6 + 75 + 512 + 1 + 6 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509161404 + ... + 1509161540.

It is an arithmetic number, because the mean of its divisors is an integer number (796503708).

Almost surely, 2^206755121664 is an apocalyptic number.

206755121664 is a gapful number since it is divisible by the number (24) 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 206755121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382321779840).

206755121664 is an abundant number, since it is smaller than the sum of its proper divisors (557888438016).

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

206755121664 is a wasteful number, since it uses less digits than its factorization.

206755121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 206755121664 in words is "two hundred six billion, seven hundred fifty-five million, one hundred twenty-one thousand, six hundred sixty-four".