6998024404224 has 324 divisors, whose sum is σ = 23487751822080. Its totient is φ = 1998028892160.

The previous prime is 6998024404201. The next prime is 6998024404249. The reversal of 6998024404224 is 4224044208996.

It is a happy number.

6998024404224 is a `hidden beast` number, since 6 + 9 + 9 + 8 + 0 + 2 + 4 + 404 + 224 = 666.

It is a super-2 number, since 2×6998024404224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 166048947 + ... + 166091085.

Almost surely, 2^{6998024404224} is an apocalyptic number.

6998024404224 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 6998024404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743875911040).

6998024404224 is an abundant number, since it is smaller than the sum of its proper divisors (16489727417856).

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

6998024404224 is a wasteful number, since it uses less digits than its factorization.

6998024404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43646 (or 43622 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6998024404224 in words is "six trillion, nine hundred ninety-eight billion, twenty-four million, four hundred four thousand, two hundred twenty-four".