6328706400 has 108 divisors (see below), whose sum is σ = 22316626332. Its totient is φ = 1687653120.

The previous prime is 6328706383. The next prime is 6328706401. The reversal of 6328706400 is 46078236.

6328706400 is a `hidden beast` number, since 6 + 3 + 2 + 8 + 7 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328706401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 432294 + ... + 446693.

It is an arithmetic number, because the mean of its divisors is an integer number (206635429).

Almost surely, 2^6328706400 is an apocalyptic number.

6328706400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6328706400 is an abundant number, since it is smaller than the sum of its proper divisors (15987919932).

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

6328706400 is a wasteful number, since it uses less digits than its factorization.

6328706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879013 (or 878997 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6328706400 is about 79553.1671273998. The cubic root of 6328706400 is about 1849.7157001643.

The spelling of 6328706400 in words is "six billion, three hundred twenty-eight million, seven hundred six thousand, four hundred".