7777666707006 has 32 divisors (see below), whose sum is σ = 17778408226560. Its totient is φ = 2222079947136.

The previous prime is 7777666706983. The next prime is 7777666707007. The reversal of 7777666707006 is 6007076667777.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7777666707007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3749611 + ... + 5441958.

It is an arithmetic number, because the mean of its divisors is an integer number (555575257080).

Almost surely, 2^{7777666707006} is an apocalyptic number.

7777666707006 is an abundant number, since it is smaller than the sum of its proper divisors (10000741519554).

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

7777666707006 is a wasteful number, since it uses less digits than its factorization.

7777666707006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211728.

The product of its (nonzero) digits is 152473104, while the sum is 66.

The spelling of 7777666707006 in words is "seven trillion, seven hundred seventy-seven billion, six hundred sixty-six million, seven hundred seven thousand, six".