6328972800 has 240 divisors, whose sum is σ = 23231675280. Its totient is φ = 1687633920.

The previous prime is 6328972799. The next prime is 6328972829. The reversal of 6328972800 is 82798236.

6328972800 is a `hidden beast` number, since 632 + 8 + 9 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336444 + ... + 354756.

It is an arithmetic number, because the mean of its divisors is an integer number (96798647).

Almost surely, 2^6328972800 is an apocalyptic number.

6328972800 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 6328972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615837640).

6328972800 is an abundant number, since it is smaller than the sum of its proper divisors (16902702480).

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

6328972800 is a wasteful number, since it uses less digits than its factorization.

6328972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18350 (or 18323 counting only the distinct ones).

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

The square root of 6328972800 is about 79554.8414617237. The cubic root of 6328972800 is about 1849.7416537224.

The spelling of 6328972800 in words is "six billion, three hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred".