6678158400 has 315 divisors, whose sum is σ = 24655844389. Its totient is φ = 1772997120.

The previous prime is 6678158393. The next prime is 6678158447. The reversal of 6678158400 is 48518766.

It is a happy number.

The square root of 6678158400 is 81720.

It is a perfect power (a square), and thus also a powerful number.

6678158400 is a `hidden beast` number, since 6 + 67 + 8 + 1 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2404137024 + 4274021376 = 49032^2 + 65376^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29419087 + ... + 29419313.

Almost surely, 2^6678158400 is an apocalyptic number.

6678158400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6678158400 is the 81720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6678158400

6678158400 is an abundant number, since it is smaller than the sum of its proper divisors (17977685989).

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

6678158400 is an equidigital number, since it uses as much as digits as its factorization.

6678158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 6678158400 is about 1883.1528505007.

The spelling of 6678158400 in words is "six billion, six hundred seventy-eight million, one hundred fifty-eight thousand, four hundred".