8666961824400 has 480 divisors, whose sum is σ = 30761408143872. Its totient is φ = 2068358553600.

The previous prime is 8666961824377. The next prime is 8666961824401. The reversal of 8666961824400 is 44281696668.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (8666961824401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310040824 + ... + 310068776.

Almost surely, 2^{8666961824400} is an apocalyptic number.

8666961824400 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 8666961824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15380704071936).

8666961824400 is an abundant number, since it is smaller than the sum of its proper divisors (22094446319472).

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

8666961824400 is a wasteful number, since it uses less digits than its factorization.

8666961824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28351 (or 28340 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 8666961824400 in words is "eight trillion, six hundred sixty-six billion, nine hundred sixty-one million, eight hundred twenty-four thousand, four hundred".