6984468480 has 288 divisors, whose sum is σ = 24573931200. Its totient is φ = 1692303360.

The previous prime is 6984468473. The next prime is 6984468481. The reversal of 6984468480 is 848644896.

It is a super-3 number, since 3×6984468480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6984468480.

It is not an unprimeable number, because it can be changed into a prime (6984468481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3716181 + ... + 3718059.

It is an arithmetic number, because the mean of its divisors is an integer number (85326150).

Almost surely, 2^6984468480 is an apocalyptic number.

6984468480 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 6984468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286965600).

6984468480 is an abundant number, since it is smaller than the sum of its proper divisors (17589462720).

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

6984468480 is a wasteful number, since it uses less digits than its factorization.

6984468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The square root of 6984468480 is about 83573.1325247534. The cubic root of 6984468480 is about 1911.5153384870.

The spelling of 6984468480 in words is "six billion, nine hundred eighty-four million, four hundred sixty-eight thousand, four hundred eighty".