10666200664 has 64 divisors (see below), whose sum is σ = 23078338560. Its totient is φ = 4526928000.

The previous prime is 10666200661. The next prime is 10666200679. The reversal of 10666200664 is 46600266601.

10666200664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10666200664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666200661) 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, 5340114 + ... + 5342110.

It is an arithmetic number, because the mean of its divisors is an integer number (360599040).

Almost surely, 2^10666200664 is an apocalyptic number.

10666200664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10666200664 is an abundant number, since it is smaller than the sum of its proper divisors (12412137896).

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

10666200664 is a wasteful number, since it uses less digits than its factorization.

10666200664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 10666200664 in words is "ten billion, six hundred sixty-six million, two hundred thousand, six hundred sixty-four".