8661196800 has 504 divisors, whose sum is σ = 32113825536. Its totient is φ = 2229534720.

The previous prime is 8661196799. The next prime is 8661196829. The reversal of 8661196800 is 86911668.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68198337 + ... + 68198463.

Almost surely, 2^8661196800 is an apocalyptic number.

8661196800 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 8661196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056912768).

8661196800 is an abundant number, since it is smaller than the sum of its proper divisors (23452628736).

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

8661196800 is a wasteful number, since it uses less digits than its factorization.

8661196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8661196800 is about 93065.5510916902. The cubic root of 8661196800 is about 2053.6478219978.

The spelling of 8661196800 in words is "eight billion, six hundred sixty-one million, one hundred ninety-six thousand, eight hundred".