10666067328 has 192 divisors, whose sum is σ = 36209771520. Its totient is φ = 2949073920.

The previous prime is 10666067287. The next prime is 10666067333. The reversal of 10666067328 is 82376066601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10666067328² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 228651 + ... + 271317.

It is an arithmetic number, because the mean of its divisors is an integer number (188592560).

Almost surely, 2^10666067328 is an apocalyptic number.

10666067328 is a gapful number since it is divisible by the number (18) 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 10666067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104885760).

10666067328 is an abundant number, since it is smaller than the sum of its proper divisors (25543704192).

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

10666067328 is a wasteful number, since it uses less digits than its factorization.

10666067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42725 (or 42710 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10666067328 in words is "ten billion, six hundred sixty-six million, sixty-seven thousand, three hundred twenty-eight".