6396376896000 has 3600 divisors, whose sum is σ = 30213623068200. Its totient is φ = 1340507750400.

The previous prime is 6396376895971. The next prime is 6396376896047. The reversal of 6396376896000 is 6986736936.

It can be written as a sum of positive squares in 12 ways, for example, as 3428778076416 + 2967598819584 = 1851696^2 + 1722672^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 42928703926 + ... + 42928704074.

Almost surely, 2^{6396376896000} is an apocalyptic number.

6396376896000 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 6396376896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106811534100).

6396376896000 is an abundant number, since it is smaller than the sum of its proper divisors (23817246172200).

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

6396376896000 is a wasteful number, since it uses less digits than its factorization.

6396376896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 6396376896000 in words is "six trillion, three hundred ninety-six billion, three hundred seventy-six million, eight hundred ninety-six thousand".