6366056564010 has 768 divisors, whose sum is σ = 19740613939200. Its totient is φ = 1290110976000.

The previous prime is 6366056564003. The next prime is 6366056564039. The reversal of 6366056564010 is 104656506636.

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 383 ways as a sum of consecutive naturals, for example, 31990233891 + ... + 31990234089.

It is an arithmetic number, because the mean of its divisors is an integer number (25703924400).

Almost surely, 2^{6366056564010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6366056564010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870306969600).

6366056564010 is an abundant number, since it is smaller than the sum of its proper divisors (13374557375190).

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

6366056564010 is a wasteful number, since it uses less digits than its factorization.

6366056564010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 6366056564010 in words is "six trillion, three hundred sixty-six billion, fifty-six million, five hundred sixty-four thousand, ten".