6844445080704 has 2880 divisors, whose sum is σ = 28818716129280. Its totient is φ = 1572658053120.

The previous prime is 6844445080691. The next prime is 6844445080717. The reversal of 6844445080704 is 4070805444486.

6844445080704 is a `hidden beast` number, since 6 + 8 + 4 + 44 + 450 + 80 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6844445080691) and next prime (6844445080717).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 53893268289 + ... + 53893268415.

It is an arithmetic number, because the mean of its divisors is an integer number (10006498656).

Almost surely, 2^{6844445080704} is an apocalyptic number.

6844445080704 is a gapful number since it is divisible by the number (64) 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 6844445080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409358064640).

6844445080704 is an abundant number, since it is smaller than the sum of its proper divisors (21974271048576).

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

6844445080704 is a wasteful number, since it uses less digits than its factorization.

6844445080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 6844445080704 in words is "six trillion, eight hundred forty-four billion, four hundred forty-five million, eighty thousand, seven hundred four".