6393600000000 has 1080 divisors, whose sum is σ = 24319245361040. Its totient is φ = 1658880000000.

The previous prime is 6393599999989. The next prime is 6393600000001. The reversal of 6393600000000 is 63936.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6393600000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6393600000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172799999982 + ... + 172800000018.

Almost surely, 2^{6393600000000} is an apocalyptic number.

6393600000000 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 6393600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159622680520).

6393600000000 is an abundant number, since it is smaller than the sum of its proper divisors (17925645361040).

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

6393600000000 is an frugal number, since it uses more digits than its factorization.

6393600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 6393600000000 its reverse (63936), we get a palindrome (6393600063936).

6393600000000 divided by its reverse (63936) gives a 8-th power (100000000 = 10⁸).

The spelling of 6393600000000 in words is "six trillion, three hundred ninety-three billion, six hundred million", and thus it is an aban number.