10666733000 has 512 divisors, whose sum is σ = 34289049600. Its totient is φ = 3003264000.

The previous prime is 10666732987. The next prime is 10666733039. The reversal of 10666733000 is 33766601.

It is a happy number.

It is a super-2 number, since 2×10666733000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33648842 + ... + 33649158.

It is an arithmetic number, because the mean of its divisors is an integer number (66970800).

Almost surely, 2^10666733000 is an apocalyptic number.

10666733000 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 10666733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144524800).

10666733000 is an abundant number, since it is smaller than the sum of its proper divisors (23622316600).

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

10666733000 is a wasteful number, since it uses less digits than its factorization.

10666733000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 10666733000 in words is "ten billion, six hundred sixty-six million, seven hundred thirty-three thousand".