8419807704960 has 384 divisors, whose sum is σ = 30578849084160. Its totient is φ = 2131853967360.

The previous prime is 8419807704949. The next prime is 8419807705003. The reversal of 8419807704960 is 694077089148.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9018832 + ... + 9908528.

It is an arithmetic number, because the mean of its divisors is an integer number (79632419490).

Almost surely, 2^{8419807704960} is an apocalyptic number.

8419807704960 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 8419807704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289424542080).

8419807704960 is an abundant number, since it is smaller than the sum of its proper divisors (22159041379200).

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

8419807704960 is a wasteful number, since it uses less digits than its factorization.

8419807704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889806 (or 889791 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 8419807704960 in words is "eight trillion, four hundred nineteen billion, eight hundred seven million, seven hundred four thousand, nine hundred sixty".