6678947520 has 336 divisors, whose sum is σ = 27104083968. Its totient is φ = 1477232640.

The previous prime is 6678947497. The next prime is 6678947537. The reversal of 6678947520 is 257498766.

6678947520 is a `hidden beast` number, since 6 + 6 + 78 + 9 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619617 + ... + 630303.

Almost surely, 2^6678947520 is an apocalyptic number.

6678947520 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 6678947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552041984).

6678947520 is an abundant number, since it is smaller than the sum of its proper divisors (20425136448).

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

6678947520 is a wasteful number, since it uses less digits than its factorization.

6678947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6678947520 is about 81724.8280512110. The cubic root of 6678947520 is about 1883.2270214004.

The spelling of 6678947520 in words is "six billion, six hundred seventy-eight million, nine hundred forty-seven thousand, five hundred twenty".