8663886400 has 189 divisors, whose sum is σ = 23214296091. Its totient is φ = 3181102080.

The previous prime is 8663886397. The next prime is 8663886419. The reversal of 8663886400 is 46883668.

The square root of 8663886400 is 93080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2233129536 + 6430756864 = 47256^2 + 80192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48401511 + ... + 48401689.

Almost surely, 2^8663886400 is an apocalyptic number.

8663886400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8663886400 is the 93080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8663886400

8663886400 is an abundant number, since it is smaller than the sum of its proper divisors (14550409691).

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

8663886400 is a wasteful number, since it uses less digits than its factorization.

8663886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The cubic root of 8663886400 is about 2053.8603761310.

Multiplying 8663886400 by its sum of digits (49), we get a square (424530433600 = 651560²).

The spelling of 8663886400 in words is "eight billion, six hundred sixty-three million, eight hundred eighty-six thousand, four hundred".