8405679484800 has 2304 divisors, whose sum is σ = 36362808256320. Its totient is φ = 1898289561600.

The previous prime is 8405679484777. The next prime is 8405679484883. The reversal of 8405679484800 is 84849765048.

8405679484800 is a `hidden beast` number, since 8 + 4 + 0 + 5 + 6 + 79 + 484 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7045833004 + ... + 7045834196.

Almost surely, 2^{8405679484800} is an apocalyptic number.

8405679484800 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 8405679484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181404128160).

8405679484800 is an abundant number, since it is smaller than the sum of its proper divisors (27957128771520).

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

8405679484800 is a wasteful number, since it uses less digits than its factorization.

8405679484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8405679484800 in words is "eight trillion, four hundred five billion, six hundred seventy-nine million, four hundred eighty-four thousand, eight hundred".