206032828960 has 384 divisors, whose sum is σ = 579937881600. Its totient is φ = 67722117120.

The previous prime is 206032828949. The next prime is 206032828979. The reversal of 206032828960 is 69828230602.

It is a happy number.

206032828960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206032828960² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206032828960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543622051 + ... + 543622429.

It is an arithmetic number, because the mean of its divisors is an integer number (1510254900).

Almost surely, 2^206032828960 is an apocalyptic number.

206032828960 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 206032828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289968940800).

206032828960 is an abundant number, since it is smaller than the sum of its proper divisors (373905052640).

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

206032828960 is a wasteful number, since it uses less digits than its factorization.

206032828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 206032828960 in words is "two hundred six billion, thirty-two million, eight hundred twenty-eight thousand, nine hundred sixty".