6423382425600 has 960 divisors, whose sum is σ = 27197722292400. Its totient is φ = 1468095528960.

The previous prime is 6423382425589. The next prime is 6423382425637. The reversal of 6423382425600 is 65242833246.

6423382425600 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 3 + 82 + 4 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464479486 + ... + 464493314.

Almost surely, 2^{6423382425600} is an apocalyptic number.

6423382425600 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 6423382425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598861146200).

6423382425600 is an abundant number, since it is smaller than the sum of its proper divisors (20774339866800).

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

6423382425600 is an equidigital number, since it uses as much as digits as its factorization.

6423382425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13888 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6423382425600 in words is "six trillion, four hundred twenty-three billion, three hundred eighty-two million, four hundred twenty-five thousand, six hundred".