8405879680000 has 1320 divisors, whose sum is σ = 25260210082800. Its totient is φ = 2781757440000.

The previous prime is 8405879679997. The next prime is 8405879680027. The reversal of 8405879680000 is 869785048.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 119 ways as a sum of consecutive naturals, for example, 42669439902 + ... + 42669440098.

It is an arithmetic number, because the mean of its divisors is an integer number (19136522790).

Almost surely, 2^{8405879680000} is an apocalyptic number.

8405879680000 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 8405879680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630105041400).

8405879680000 is an abundant number, since it is smaller than the sum of its proper divisors (16854330402800).

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

8405879680000 is a wasteful number, since it uses less digits than its factorization.

8405879680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 8405879680000 in words is "eight trillion, four hundred five billion, eight hundred seventy-nine million, six hundred eighty thousand".