2066868606816 has 288 divisors, whose sum is σ = 6365625084000. Its totient is φ = 632366383104.

The previous prime is 2066868606779. The next prime is 2066868606839. The reversal of 2066868606816 is 6186068686602.

2066868606816 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 6 + 8 + 606 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 1276632055 + ... + 1276633673.

It is an arithmetic number, because the mean of its divisors is an integer number (22102864875).

Almost surely, 2^{2066868606816} is an apocalyptic number.

2066868606816 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 2066868606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182812542000).

2066868606816 is an abundant number, since it is smaller than the sum of its proper divisors (4298756477184).

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

2066868606816 is a wasteful number, since it uses less digits than its factorization.

2066868606816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2066868606816 in words is "two trillion, sixty-six billion, eight hundred sixty-eight million, six hundred six thousand, eight hundred sixteen".