9966453840 has 800 divisors, whose sum is σ = 42468281856. Its totient is φ = 2116730880.

The previous prime is 9966453811. The next prime is 9966453851. The reversal of 9966453840 is 483546699.

9966453840 is a `hidden beast` number, since 9 + 9 + 6 + 64 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42774364 + ... + 42774596.

Almost surely, 2^9966453840 is an apocalyptic number.

9966453840 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 9966453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234140928).

9966453840 is an abundant number, since it is smaller than the sum of its proper divisors (32501828016).

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

9966453840 is a wasteful number, since it uses less digits than its factorization.

9966453840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9966453840 is about 99832.1282954541. The cubic root of 9966453840 is about 2152.0228907705.

The spelling of 9966453840 in words is "nine billion, nine hundred sixty-six million, four hundred fifty-three thousand, eight hundred forty".