9966431475 has 576 divisors, whose sum is σ = 26908277760. Its totient is φ = 3384115200.

The previous prime is 9966431471. The next prime is 9966431477. The reversal of 9966431475 is 5741346699.

9966431475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9966431475 - 2² = 9966431471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9966431471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 72747607 + ... + 72747743.

It is an arithmetic number, because the mean of its divisors is an integer number (46715760).

Almost surely, 2^9966431475 is an apocalyptic number.

9966431475 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9966431475 is an abundant number, since it is smaller than the sum of its proper divisors (16941846285).

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

9966431475 is a wasteful number, since it uses less digits than its factorization.

9966431475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 9966431475 is about 99832.0162823530. The cubic root of 9966431475 is about 2152.0212810362.

The spelling of 9966431475 in words is "nine billion, nine hundred sixty-six million, four hundred thirty-one thousand, four hundred seventy-five".