6981840028800 has 1728 divisors, whose sum is σ = 31317286815360. Its totient is φ = 1468009267200.

The previous prime is 6981840028753. The next prime is 6981840028819. The reversal of 6981840028800 is 88200481896.

6981840028800 is a `hidden beast` number, since 69 + 81 + 8 + 400 + 28 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7906953159 + ... + 7906954041.

It is an arithmetic number, because the mean of its divisors is an integer number (18123429870).

Almost surely, 2^{6981840028800} is an apocalyptic number.

6981840028800 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 6981840028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658643407680).

6981840028800 is an abundant number, since it is smaller than the sum of its proper divisors (24335446786560).

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

6981840028800 is a wasteful number, since it uses less digits than its factorization.

6981840028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 6981840028800 in words is "six trillion, nine hundred eighty-one billion, eight hundred forty million, twenty-eight thousand, eight hundred".