6328642420800 has 2016 divisors, whose sum is σ = 27867096391680. Its totient is φ = 1330056806400.

The previous prime is 6328642420799. The next prime is 6328642420813. The reversal of 6328642420800 is 80242468236.

6328642420800 is a `hidden beast` number, since 6 + 32 + 86 + 42 + 420 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×6328642420800³ (a number of 39 digits) contains 333 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15032404590 + ... + 15032405010.

It is an arithmetic number, because the mean of its divisors is an integer number (13822964480).

Almost surely, 2^{6328642420800} is an apocalyptic number.

6328642420800 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 6328642420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933548195840).

6328642420800 is an abundant number, since it is smaller than the sum of its proper divisors (21538453970880).

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

6328642420800 is a wasteful number, since it uses less digits than its factorization.

6328642420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 6328642420800 in words is "six trillion, three hundred twenty-eight billion, six hundred forty-two million, four hundred twenty thousand, eight hundred".