10664544600 has 144 divisors (see below), whose sum is σ = 36402603120. Its totient is φ = 2797228800.

The previous prime is 10664544589. The next prime is 10664544607. The reversal of 10664544600 is 644546601.

10664544600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 5 + 44 + 600 = 666.

It is a super-2 number, since 2×10664544600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664544607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61237 + ... + 158363.

It is an arithmetic number, because the mean of its divisors is an integer number (252795855).

Almost surely, 2^10664544600 is an apocalyptic number.

10664544600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664544600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201301560).

10664544600 is an abundant number, since it is smaller than the sum of its proper divisors (25738058520).

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

10664544600 is a wasteful number, since it uses less digits than its factorization.

10664544600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97210 (or 97198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10664544600 in words is "ten billion, six hundred sixty-four million, five hundred forty-four thousand, six hundred".