6818280180096 has 2048 divisors, whose sum is σ = 25803878400000. Its totient is φ = 1586793922560.

The previous prime is 6818280180031. The next prime is 6818280180163. The reversal of 6818280180096 is 6900810828186.

It is a super-4 number, since 4×6818280180096⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76609889620 + ... + 76609889708.

It is an arithmetic number, because the mean of its divisors is an integer number (12599550000).

Almost surely, 2^{6818280180096} is an apocalyptic number.

6818280180096 is a gapful number since it is divisible by the number (66) 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 6818280180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901939200000).

6818280180096 is an abundant number, since it is smaller than the sum of its proper divisors (18985598219904).

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

6818280180096 is a wasteful number, since it uses less digits than its factorization.

6818280180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The spelling of 6818280180096 in words is "six trillion, eight hundred eighteen billion, two hundred eighty million, one hundred eighty thousand, ninety-six".