206690964480 has 1056 divisors, whose sum is σ = 961797328128. Its totient is φ = 39636172800.

The previous prime is 206690964463. The next prime is 206690964481. The reversal of 206690964480 is 84469096602.

206690964480 is a `hidden beast` number, since 20 + 6 + 6 + 90 + 96 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206690964481) 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 95 ways as a sum of consecutive naturals, for example, 46123840 + ... + 46128320.

Almost surely, 2^206690964480 is an apocalyptic number.

206690964480 is a gapful number since it is divisible by the number (20) 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 206690964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480898664064).

206690964480 is an abundant number, since it is smaller than the sum of its proper divisors (755106363648).

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

206690964480 is a wasteful number, since it uses less digits than its factorization.

206690964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 206690964480 in words is "two hundred six billion, six hundred ninety million, nine hundred sixty-four thousand, four hundred eighty".