10004340066 has 64 divisors (see below), whose sum is σ = 24089425920. Its totient is φ = 2705823360.

The previous prime is 10004340019. The next prime is 10004340067. The reversal of 10004340066 is 66004340001.

10004340066 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10004340067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201630 + ... + 1209926.

It is an arithmetic number, because the mean of its divisors is an integer number (376397280).

Almost surely, 2^10004340066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004340066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044712960).

10004340066 is an abundant number, since it is smaller than the sum of its proper divisors (14085085854).

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

10004340066 is a wasteful number, since it uses less digits than its factorization.

10004340066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10004340066 its reverse (66004340001), we get a palindrome (76008680067).

The spelling of 10004340066 in words is "ten billion, four million, three hundred forty thousand, sixty-six".