206329813872 has 960 divisors, whose sum is σ = 749027059200. Its totient is φ = 48283361280.

The previous prime is 206329813871. The next prime is 206329813883. The reversal of 206329813872 is 278318923602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206329813871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 623352747 + ... + 623353077.

It is an arithmetic number, because the mean of its divisors is an integer number (780236520).

Almost surely, 2^206329813872 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 206329813872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374513529600).

206329813872 is an abundant number, since it is smaller than the sum of its proper divisors (542697245328).

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

206329813872 is a wasteful number, since it uses less digits than its factorization.

206329813872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

It can be divided in two parts, 206329 and 813872, that added together give a palindrome (1020201).

The spelling of 206329813872 in words is "two hundred six billion, three hundred twenty-nine million, eight hundred thirteen thousand, eight hundred seventy-two".