206829000704 has 96 divisors (see below), whose sum is σ = 443204667360. Its totient is φ = 96243941376.

The previous prime is 206829000671. The next prime is 206829000709. The reversal of 206829000704 is 407000928602.

It is a super-3 number, since 3×206829000704³ (a number of 35 digits) contains 333 as substring.

It is a pancake number, because a pancake can be divided into 206829000704 parts by 643162 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206829000709) 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 7 ways as a sum of consecutive naturals, for example, 1683512 + ... + 1802184.

It is an arithmetic number, because the mean of its divisors is an integer number (4616715285).

Almost surely, 2^206829000704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206829000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221602333680).

206829000704 is an abundant number, since it is smaller than the sum of its proper divisors (236375666656).

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

206829000704 is a wasteful number, since it uses less digits than its factorization.

206829000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118755 (or 118735 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 206829000704 in words is "two hundred six billion, eight hundred twenty-nine million, seven hundred four", and thus it is an aban number.