8466432000 has 512 divisors, whose sum is σ = 30915743040. Its totient is φ = 2044723200.

The previous prime is 8466431993. The next prime is 8466432071. The reversal of 8466432000 is 2346648.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 159743974 + ... + 159744026.

Almost surely, 2^8466432000 is an apocalyptic number.

8466432000 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 8466432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457871520).

8466432000 is an abundant number, since it is smaller than the sum of its proper divisors (22449311040).

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

8466432000 is an equidigital number, since it uses as much as digits as its factorization.

8466432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 8466432000 is about 92013.2164419873. The cubic root of 8466432000 is about 2038.1374772713.

Adding to 8466432000 its reverse (2346648), we get a palindrome (8468778648).

The spelling of 8466432000 in words is "eight billion, four hundred sixty-six million, four hundred thirty-two thousand".