9945066600 has 1152 divisors, whose sum is σ = 43677204480. Its totient is φ = 2052864000.

The previous prime is 9945066581. The next prime is 9945066611. The reversal of 9945066600 is 66605499.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242562580 + ... + 242562620.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^9945066600 is an apocalyptic number.

9945066600 is a gapful number since it is divisible by the number (90) 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 9945066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

9945066600 is an abundant number, since it is smaller than the sum of its proper divisors (33732137880).

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

9945066600 is a wasteful number, since it uses less digits than its factorization.

9945066600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9945066600 is about 99724.9547505538. The cubic root of 9945066600 is about 2150.4824300503.

The spelling of 9945066600 in words is "nine billion, nine hundred forty-five million, sixty-six thousand, six hundred".