8344340722560 has 256 divisors, whose sum is σ = 27769830773760. Its totient is φ = 2127197749248.

The previous prime is 8344340722511. The next prime is 8344340722561. The reversal of 8344340722560 is 652270434438.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8344340722561) 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 31 ways as a sum of consecutive naturals, for example, 78684292 + ... + 78790268.

It is an arithmetic number, because the mean of its divisors is an integer number (108475901460).

Almost surely, 2^{8344340722560} is an apocalyptic number.

8344340722560 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 8344340722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884915386880).

8344340722560 is an abundant number, since it is smaller than the sum of its proper divisors (19425490051200).

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

8344340722560 is a wasteful number, since it uses less digits than its factorization.

8344340722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107805 (or 107793 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 8344340722560 in words is "eight trillion, three hundred forty-four billion, three hundred forty million, seven hundred twenty-two thousand, five hundred sixty".