6678416160 has 288 divisors, whose sum is σ = 25611925248. Its totient is φ = 1572341760.

The previous prime is 6678416123. The next prime is 6678416219. The reversal of 6678416160 is 616148766.

6678416160 is a `hidden beast` number, since 6 + 6 + 78 + 416 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6678416160² = 89202484812298291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 422805 + ... + 438315.

It is an arithmetic number, because the mean of its divisors is an integer number (88930296).

Almost surely, 2^6678416160 is an apocalyptic number.

6678416160 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 6678416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805962624).

6678416160 is an abundant number, since it is smaller than the sum of its proper divisors (18933509088).

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

6678416160 is a wasteful number, since it uses less digits than its factorization.

6678416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15557 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6678416160 is about 81721.5770772934. The cubic root of 6678416160 is about 1883.1770784992.

It can be divided in two parts, 66784 and 16160, that added together give a square (82944 = 288²).

The spelling of 6678416160 in words is "six billion, six hundred seventy-eight million, four hundred sixteen thousand, one hundred sixty".