10664614600 has 24 divisors (see below), whose sum is σ = 24795229410. Its totient is φ = 4265845760.

The previous prime is 10664614537. The next prime is 10664614601. The reversal of 10664614600 is 641646601.

10664614600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5211973636 + 5452640964 = 72194^2 + 73842^2 .

It is a super-2 number, since 2×10664614600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10664614601) 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 5 ways as a sum of consecutive naturals, for example, 26661337 + ... + 26661736.

Almost surely, 2^10664614600 is an apocalyptic number.

10664614600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10664614600 is an abundant number, since it is smaller than the sum of its proper divisors (14130614810).

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

10664614600 is a wasteful number, since it uses less digits than its factorization.

10664614600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53323089 (or 53323080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10664614600 in words is "ten billion, six hundred sixty-four million, six hundred fourteen thousand, six hundred".