6328144800 has 216 divisors, whose sum is σ = 22630739040. Its totient is φ = 1663603200.

The previous prime is 6328144789. The next prime is 6328144811. The reversal of 6328144800 is 84418236.

6328144800 is a `hidden beast` number, since 632 + 8 + 14 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6328144789) and next prime (6328144811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505011 + ... + 517389.

It is an arithmetic number, because the mean of its divisors is an integer number (104771940).

Almost surely, 2^6328144800 is an apocalyptic number.

6328144800 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 6328144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315369520).

6328144800 is an abundant number, since it is smaller than the sum of its proper divisors (16302594240).

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

6328144800 is a wasteful number, since it uses less digits than its factorization.

6328144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12476 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6328144800 is about 79549.6373341827. The cubic root of 6328144800 is about 1849.6609848717.

The spelling of 6328144800 in words is "six billion, three hundred twenty-eight million, one hundred forty-four thousand, eight hundred".