6844517820000 has 1440 divisors, whose sum is σ = 30346521004800. Its totient is φ = 1481981184000.

The previous prime is 6844517819977. The next prime is 6844517820011. The reversal of 6844517820000 is 287154486.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 646374706 + ... + 646385294.

It is an arithmetic number, because the mean of its divisors is an integer number (21073972920).

Almost surely, 2^{6844517820000} is an apocalyptic number.

6844517820000 is a gapful number since it is divisible by the number (60) 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 6844517820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173260502400).

6844517820000 is an abundant number, since it is smaller than the sum of its proper divisors (23502003184800).

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

6844517820000 is a wasteful number, since it uses less digits than its factorization.

6844517820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 6844517820000 in words is "six trillion, eight hundred forty-four billion, five hundred seventeen million, eight hundred twenty thousand".