6364449810720 has 192 divisors, whose sum is σ = 22749523453440. Its totient is φ = 1661076209664.

The previous prime is 6364449810713. The next prime is 6364449810721. The reversal of 6364449810720 is 270189444636.

6364449810720 is a `hidden beast` number, since 6 + 3 + 6 + 44 + 498 + 107 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6364449810721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15469857 + ... + 15875936.

It is an arithmetic number, because the mean of its divisors is an integer number (118487101320).

Almost surely, 2^{6364449810720} is an apocalyptic number.

6364449810720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6364449810720 is an abundant number, since it is smaller than the sum of its proper divisors (16385073642720).

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

6364449810720 is a wasteful number, since it uses less digits than its factorization.

6364449810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31345864 (or 31345850 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6364449810720 in words is "six trillion, three hundred sixty-four billion, four hundred forty-nine million, eight hundred ten thousand, seven hundred twenty".