2086766743680 has 384 divisors, whose sum is σ = 7576583929200. Its totient is φ = 528471982080.

The previous prime is 2086766743673. The next prime is 2086766743783. The reversal of 2086766743680 is 863476676802.

2086766743680 is a `hidden beast` number, since 2 + 0 + 8 + 67 + 6 + 67 + 436 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 381360591936 + 1705406151744 = 617544^2 + 1305912^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10087042 + ... + 10291838.

Almost surely, 2^{2086766743680} is an apocalyptic number.

2086766743680 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 2086766743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788291964600).

2086766743680 is an abundant number, since it is smaller than the sum of its proper divisors (5489817185520).

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

2086766743680 is a wasteful number, since it uses less digits than its factorization.

2086766743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204912 (or 204897 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 2086766743680 in words is "two trillion, eighty-six billion, seven hundred sixty-six million, seven hundred forty-three thousand, six hundred eighty".