6990841728000 has 2816 divisors, whose sum is σ = 30089964602880. Its totient is φ = 1605264998400.

The previous prime is 6990841727923. The next prime is 6990841728007. The reversal of 6990841728000 is 8271480996.

6990841728000 is a `hidden beast` number, since 69 + 90 + 8 + 417 + 2 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990841728007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61865855944 + ... + 61865856056.

Almost surely, 2^{6990841728000} is an apocalyptic number.

6990841728000 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 6990841728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044982301440).

6990841728000 is an abundant number, since it is smaller than the sum of its proper divisors (23099122874880).

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

6990841728000 is a wasteful number, since it uses less digits than its factorization.

6990841728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 6990841728000 in words is "six trillion, nine hundred ninety billion, eight hundred forty-one million, seven hundred twenty-eight thousand".