8445884428800 has 1920 divisors, whose sum is σ = 39389798891520. Its totient is φ = 1724306227200.

The previous prime is 8445884428799. The next prime is 8445884428823. The reversal of 8445884428800 is 88244885448.

8445884428800 is a `hidden beast` number, since 8 + 4 + 4 + 58 + 84 + 428 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 974933269 + ... + 974941931.

It is an arithmetic number, because the mean of its divisors is an integer number (20515520256).

Almost surely, 2^{8445884428800} is an apocalyptic number.

8445884428800 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 8445884428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694899445760).

8445884428800 is an abundant number, since it is smaller than the sum of its proper divisors (30943914462720).

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

8445884428800 is a wasteful number, since it uses less digits than its factorization.

8445884428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 83886080, while the sum is 63.

The spelling of 8445884428800 in words is "eight trillion, four hundred forty-five billion, eight hundred eighty-four million, four hundred twenty-eight thousand, eight hundred".