2766001966407 has 12 divisors (see below), whose sum is σ = 3995372004624. Its totient is φ = 1843984773600.

The previous prime is 2766001966339. The next prime is 2766001966439. The reversal of 2766001966407 is 7046691006672.

2766001966407 is a `hidden beast` number, since 27 + 6 + 600 + 1 + 9 + 6 + 6 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 2766001966407 - 2¹⁰ = 2766001965383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766001966447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272094 + ... + 2367707.

It is an arithmetic number, because the mean of its divisors is an integer number (332947667052).

Almost surely, 2^{2766001966407} is an apocalyptic number.

2766001966407 is a deficient number, since it is larger than the sum of its proper divisors (1229370038217).

2766001966407 is a wasteful number, since it uses less digits than its factorization.

2766001966407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756230 (or 2756227 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2766001966407 in words is "two trillion, seven hundred sixty-six billion, one million, nine hundred sixty-six thousand, four hundred seven".