6013320768000 has 2880 divisors, whose sum is σ = 28184354085888. Its totient is φ = 1266654412800.

The previous prime is 6013320767999. The next prime is 6013320768001. The reversal of 6013320768000 is 8670233106.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6013320767999) and next prime (6013320768001).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (6013320768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9906623697 + ... + 9906624303.

Almost surely, 2^{6013320768000} is an apocalyptic number.

6013320768000 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 6013320768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092177042944).

6013320768000 is an abundant number, since it is smaller than the sum of its proper divisors (22171033317888).

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

6013320768000 is an equidigital number, since it uses as much as digits as its factorization.

6013320768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6013320768000 in words is "six trillion, thirteen billion, three hundred twenty million, seven hundred sixty-eight thousand".