8032716451200 has 960 divisors, whose sum is σ = 30970325361600. Its totient is φ = 1829827399680.

The previous prime is 8032716451129. The next prime is 8032716451223. The reversal of 8032716451200 is 21546172308.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12976924491 + ... + 12976925109.

It is an arithmetic number, because the mean of its divisors is an integer number (32260755585).

Almost surely, 2^{8032716451200} is an apocalyptic number.

8032716451200 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 8032716451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485162680800).

8032716451200 is an abundant number, since it is smaller than the sum of its proper divisors (22937608910400).

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

8032716451200 is an equidigital number, since it uses as much as digits as its factorization.

8032716451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 8032716451200 in words is "eight trillion, thirty-two billion, seven hundred sixteen million, four hundred fifty-one thousand, two hundred".