206640423714816 has 3600 divisors, whose sum is σ = 841882950417600. Its totient is φ = 48243564085248.

The previous prime is 206640423714773. The next prime is 206640423714847. The reversal of 206640423714816 is 618417324046602.

206640423714816 is a `hidden beast` number, since 2 + 0 + 6 + 64 + 0 + 423 + 7 + 148 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1486621753275 + ... + 1486621753413.

It is an arithmetic number, because the mean of its divisors is an integer number (233856375116).

Almost surely, 2^{206640423714816} is an apocalyptic number.

206640423714816 is a gapful number since it is divisible by the number (26) 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 206640423714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420941475208800).

206640423714816 is an abundant number, since it is smaller than the sum of its proper divisors (635242526702784).

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

206640423714816 is a wasteful number, since it uses less digits than its factorization.

206640423714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 206640423714816 in words is "two hundred six trillion, six hundred forty billion, four hundred twenty-three million, seven hundred fourteen thousand, eight hundred sixteen".