6987084480 has 168 divisors, whose sum is σ = 24079425552. Its totient is φ = 1859598336.

The previous prime is 6987084469. The next prime is 6987084493. The reversal of 6987084480 is 844807896.

6987084480 is a `hidden beast` number, since 6 + 9 + 87 + 0 + 84 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688494 + ... + 1692626.

It is an arithmetic number, because the mean of its divisors is an integer number (143329914).

Almost surely, 2^6987084480 is an apocalyptic number.

6987084480 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 6987084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039712776).

6987084480 is an abundant number, since it is smaller than the sum of its proper divisors (17092341072).

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

6987084480 is a wasteful number, since it uses less digits than its factorization.

6987084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6987084480 is about 83588.7820224700. The cubic root of 6987084480 is about 1911.7539584079.

The spelling of 6987084480 in words is "six billion, nine hundred eighty-seven million, eighty-four thousand, four hundred eighty".