8420810319360 has 960 divisors, whose sum is σ = 31081747783680. Its totient is φ = 2160890265600.

The previous prime is 8420810319319. The next prime is 8420810319371. The reversal of 8420810319360 is 639130180248.

8420810319360 is a `hidden beast` number, since 8 + 420 + 81 + 0 + 3 + 1 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 21986449729 + ... + 21986450111.

It is an arithmetic number, because the mean of its divisors is an integer number (32376820608).

Almost surely, 2^{8420810319360} is an apocalyptic number.

8420810319360 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 8420810319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540873891840).

8420810319360 is an abundant number, since it is smaller than the sum of its proper divisors (22660937464320).

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

8420810319360 is a wasteful number, since it uses less digits than its factorization.

8420810319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8420810319360 in words is "eight trillion, four hundred twenty billion, eight hundred ten million, three hundred nineteen thousand, three hundred sixty".