10664381728 has 144 divisors (see below), whose sum is σ = 28238704704. Its totient is φ = 3828695040.

The previous prime is 10664381699. The next prime is 10664381737. The reversal of 10664381728 is 82718346601.

It is a happy number.

It is a super-2 number, since 2×10664381728² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18482176 + ... + 18482752.

It is an arithmetic number, because the mean of its divisors is an integer number (196102116).

Almost surely, 2^10664381728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119352352).

10664381728 is an abundant number, since it is smaller than the sum of its proper divisors (17574322976).

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

10664381728 is an equidigital number, since it uses as much as digits as its factorization.

10664381728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10664381728 in words is "ten billion, six hundred sixty-four million, three hundred eighty-one thousand, seven hundred twenty-eight".