8663664240 has 720 divisors, whose sum is σ = 37979854848. Its totient is φ = 1717632000.

The previous prime is 8663664223. The next prime is 8663664241. The reversal of 8663664240 is 424663668.

8663664240 is a `hidden beast` number, since 8 + 6 + 636 + 6 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663664241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122023405 + ... + 122023475.

Almost surely, 2^8663664240 is an apocalyptic number.

8663664240 is a gapful number since it is divisible by the number (80) 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 8663664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989927424).

8663664240 is an abundant number, since it is smaller than the sum of its proper divisors (29316190608).

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

8663664240 is a wasteful number, since it uses less digits than its factorization.

8663664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 8663664240 is about 93078.8066103127. The cubic root of 8663664240 is about 2053.8428209023.

The spelling of 8663664240 in words is "eight billion, six hundred sixty-three million, six hundred sixty-four thousand, two hundred forty".