9966172680 has 96 divisors (see below), whose sum is σ = 32921118360. Its totient is φ = 2614072320.

The previous prime is 9966172603. The next prime is 9966172681. The reversal of 9966172680 is 862716699.

It can be written as a sum of positive squares in 4 ways, for example, as 2632305636 + 7333867044 = 51306^2 + 85638^2 .

It is not an unprimeable number, because it can be changed into a prime (9966172681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 204957 + ... + 248876.

Almost surely, 2^9966172680 is an apocalyptic number.

9966172680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9966172680 is an abundant number, since it is smaller than the sum of its proper divisors (22954945680).

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

9966172680 is a wasteful number, since it uses less digits than its factorization.

9966172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453911 (or 453904 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9966172680 is about 99830.7201216139. The cubic root of 9966172680 is about 2152.0026539355.

The spelling of 9966172680 in words is "nine billion, nine hundred sixty-six million, one hundred seventy-two thousand, six hundred eighty".