8442676132800 has 1344 divisors, whose sum is σ = 35621220096000. Its totient is φ = 1702600704000.

The previous prime is 8442676132783. The next prime is 8442676133011. The reversal of 8442676132800 is 82316762448.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1279383901 + ... + 1279390499.

It is an arithmetic number, because the mean of its divisors is an integer number (26503884000).

Almost surely, 2^{8442676132800} is an apocalyptic number.

8442676132800 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 8442676132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810610048000).

8442676132800 is an abundant number, since it is smaller than the sum of its proper divisors (27178543963200).

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

8442676132800 is a wasteful number, since it uses less digits than its factorization.

8442676132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 8442676132800 in words is "eight trillion, four hundred forty-two billion, six hundred seventy-six million, one hundred thirty-two thousand, eight hundred".