206812830744 has 768 divisors, whose sum is σ = 693463680000. Its totient is φ = 57151733760.

The previous prime is 206812830743. The next prime is 206812830811. The reversal of 206812830744 is 447038218602.

It is a happy number.

206812830744 is a `hidden beast` number, since 206 + 81 + 28 + 307 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 206812830744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206812830743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1039260357 + ... + 1039260555.

It is an arithmetic number, because the mean of its divisors is an integer number (902947500).

Almost surely, 2^206812830744 is an apocalyptic number.

206812830744 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 206812830744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840000).

206812830744 is an abundant number, since it is smaller than the sum of its proper divisors (486650849256).

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

206812830744 is a wasteful number, since it uses less digits than its factorization.

206812830744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 206812830744 in words is "two hundred six billion, eight hundred twelve million, eight hundred thirty thousand, seven hundred forty-four".