11630677007 has 16 divisors (see below), whose sum is σ = 12889228032. Its totient is φ = 10438834560.

The previous prime is 11630676949. The next prime is 11630677013. The reversal of 11630677007 is 70077603611.

It is a happy number.

11630677007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11630677007 - 2¹⁶ = 11630611471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630677067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84488 + ... + 174354.

It is an arithmetic number, because the mean of its divisors is an integer number (805576752).

Almost surely, 2^11630677007 is an apocalyptic number.

11630677007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11630677007 is a deficient number, since it is larger than the sum of its proper divisors (1258551025).

11630677007 is a wasteful number, since it uses less digits than its factorization.

11630677007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90238.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 11630677007 in words is "eleven billion, six hundred thirty million, six hundred seventy-seven thousand, seven".