8662543968400 has 135 divisors (see below), whose sum is σ = 24210752190681. Its totient is φ = 2969873800320.

The previous prime is 8662543968367. The next prime is 8662543968427. The reversal of 8662543968400 is 48693452668.

The square root of 8662543968400 is 2943220.

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

It can be written as a sum of positive squares in only one way, i.e., 3118515828624 + 5544028139776 = 1765932^2 + 2354576^2 .

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, 412040289 + ... + 412061311.

Almost surely, 2^{8662543968400} is an apocalyptic number.

8662543968400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8662543968400 is the 2943220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8662543968400

8662543968400 is an abundant number, since it is smaller than the sum of its proper divisors (15548208222281).

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

8662543968400 is an frugal number, since it uses more digits than its factorization.

8662543968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42078 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 61.

The spelling of 8662543968400 in words is "eight trillion, six hundred sixty-two billion, five hundred forty-three million, nine hundred sixty-eight thousand, four hundred".