6368852736000 has 576 divisors, whose sum is σ = 23058386769600. Its totient is φ = 1690804224000.

The previous prime is 6368852735957. The next prime is 6368852736019. The reversal of 6368852736000 is 6372588636.

6368852736000 is a `hidden beast` number, since 6 + 3 + 6 + 8 + 8 + 5 + 27 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 527609965 + ... + 527622035.

It is an arithmetic number, because the mean of its divisors is an integer number (40031921475).

Almost surely, 2^{6368852736000} is an apocalyptic number.

6368852736000 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 6368852736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529193384800).

6368852736000 is an abundant number, since it is smaller than the sum of its proper divisors (16689534033600).

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

6368852736000 is a wasteful number, since it uses less digits than its factorization.

6368852736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6368852736000 in words is "six trillion, three hundred sixty-eight billion, eight hundred fifty-two million, seven hundred thirty-six thousand".