8347073800000 has 168 divisors, whose sum is σ = 22295901455352. Its totient is φ = 3081995520000.

The previous prime is 8347073799989. The next prime is 8347073800003. The reversal of 8347073800000 is 83707438.

It can be written as a sum of positive squares in 12 ways, for example, as 8345997435136 + 1076364864 = 2888944^2 + 32808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8347073800003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994794 + ... + 4205206.

It is an arithmetic number, because the mean of its divisors is an integer number (132713699139).

Almost surely, 2^{8347073800000} is an apocalyptic number.

8347073800000 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 8347073800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147950727676).

8347073800000 is an abundant number, since it is smaller than the sum of its proper divisors (13948827655352).

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

8347073800000 is an equidigital number, since it uses as much as digits as its factorization.

8347073800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210463 (or 3210433 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 8347073800000 in words is "eight trillion, three hundred forty-seven billion, seventy-three million, eight hundred thousand".