206877104640 has 240 divisors, whose sum is σ = 733951914696. Its totient is φ = 53821440000.

The previous prime is 206877104617. The next prime is 206877104653. The reversal of 206877104640 is 46401778602.

It can be written as a sum of positive squares in 4 ways, for example, as 51918356736 + 154958747904 = 227856^2 + 393648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 835140 + ... + 1054140.

Almost surely, 2^206877104640 is an apocalyptic number.

206877104640 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 206877104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366975957348).

206877104640 is an abundant number, since it is smaller than the sum of its proper divisors (527074810056).

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

206877104640 is a wasteful number, since it uses less digits than its factorization.

206877104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219071 (or 219052 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 206877104640 in words is "two hundred six billion, eight hundred seventy-seven million, one hundred four thousand, six hundred forty".