1966206366 has 128 divisors (see below), whose sum is σ = 4769280000. Its totient is φ = 598067712.

The previous prime is 1966206331. The next prime is 1966206421. The reversal of 1966206366 is 6636026691.

1966206366 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 2 + 0 + 636 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8585940 + ... + 8586168.

It is an arithmetic number, because the mean of its divisors is an integer number (37260000).

Almost surely, 2^1966206366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966206366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384640000).

1966206366 is an abundant number, since it is smaller than the sum of its proper divisors (2803073634).

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

1966206366 is a wasteful number, since it uses less digits than its factorization.

1966206366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1966206366 is about 44341.9256009479. The cubic root of 1966206366 is about 1252.7844841262.

The spelling of 1966206366 in words is "one billion, nine hundred sixty-six million, two hundred six thousand, three hundred sixty-six".