9966009966 has 64 divisors (see below), whose sum is σ = 22106967552. Its totient is φ = 2970000000.

The previous prime is 9966009961. The next prime is 9966009971. The reversal of 9966009966 is 6699006699.

It is an interprime number because it is at equal distance from previous prime (9966009961) and next prime (9966009971).

It is a super-2 number, since 2×9966009966² (a number of 21 digits) contains 22 as substring.

9966009966 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966009961) 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, 1001616 + ... + 1011516.

It is an arithmetic number, because the mean of its divisors is an integer number (345421368).

Almost surely, 2^9966009966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966009966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053483776).

9966009966 is an abundant number, since it is smaller than the sum of its proper divisors (12140957586).

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

9966009966 is a wasteful number, since it uses less digits than its factorization.

9966009966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169.

The product of its (nonzero) digits is 8503056, while the sum is 60.

The square root of 9966009966 is about 99829.9051687419. The cubic root of 9966009966 is about 2151.9909422224.

It can be divided in two parts, 996600 and 9966, that multiplied together give a square (9932115600 = 99660²).

The spelling of 9966009966 in words is "nine billion, nine hundred sixty-six million, nine thousand, nine hundred sixty-six".