3766066365600 has 432 divisors, whose sum is σ = 16556999659200. Its totient is φ = 782559129600.

The previous prime is 3766066365473. The next prime is 3766066365629. The reversal of 3766066365600 is 65636606673.

3766066365600 is a `hidden beast` number, since 3 + 76 + 6 + 0 + 6 + 6 + 3 + 6 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2842125 + ... + 3950924.

It is an arithmetic number, because the mean of its divisors is an integer number (38326388100).

Almost surely, 2^{3766066365600} is an apocalyptic number.

3766066365600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3766066365600 is an abundant number, since it is smaller than the sum of its proper divisors (12790933293600).

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

3766066365600 is a wasteful number, since it uses less digits than its factorization.

3766066365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793093 (or 6793077 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3766066365600 in words is "three trillion, seven hundred sixty-six billion, sixty-six million, three hundred sixty-five thousand, six hundred".