6330564021600 has 864 divisors, whose sum is σ = 27691347640320. Its totient is φ = 1325144862720.

The previous prime is 6330564021583. The next prime is 6330564021611. The reversal of 6330564021600 is 61204650336.

6330564021600 is a `hidden beast` number, since 6 + 3 + 3 + 0 + 5 + 6 + 40 + 2 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83172361 + ... + 83248439.

It is an arithmetic number, because the mean of its divisors is an integer number (32050170880).

Almost surely, 2^{6330564021600} is an apocalyptic number.

6330564021600 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 6330564021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845673820160).

6330564021600 is an abundant number, since it is smaller than the sum of its proper divisors (21360783618720).

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

6330564021600 is a wasteful number, since it uses less digits than its factorization.

6330564021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76252 (or 76236 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 6330564021600 its reverse (61204650336), we get a palindrome (6391768671936).

The spelling of 6330564021600 in words is "six trillion, three hundred thirty billion, five hundred sixty-four million, twenty-one thousand, six hundred".