10067066000 has 80 divisors (see below), whose sum is σ = 24364000128. Its totient is φ = 4023216000.

The previous prime is 10067065999. The next prime is 10067066017. The reversal of 10067066000 is 66076001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020749 + ... + 4023251.

Almost surely, 2^10067066000 is an apocalyptic number.

10067066000 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 10067066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182000064).

10067066000 is an abundant number, since it is smaller than the sum of its proper divisors (14296934128).

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

10067066000 is a wasteful number, since it uses less digits than its factorization.

10067066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 10067066000 in words is "ten billion, sixty-seven million, sixty-six thousand".