6987840000 has 400 divisors, whose sum is σ = 24160641120. Its totient is φ = 1792000000.

The previous prime is 6987839941. The next prime is 6987840019. The reversal of 6987840000 is 487896.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27839875 + ... + 27840125.

Almost surely, 2^6987840000 is an apocalyptic number.

6987840000 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 6987840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080320560).

6987840000 is an abundant number, since it is smaller than the sum of its proper divisors (17172801120).

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

6987840000 is an equidigital number, since it uses as much as digits as its factorization.

6987840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6987840000 is about 83593.3011670194. The cubic root of 6987840000 is about 1911.8228625074.

The spelling of 6987840000 in words is "six billion, nine hundred eighty-seven million, eight hundred forty thousand".