6896329440000 has 2880 divisors, whose sum is σ = 31856580231168. Its totient is φ = 1277337600000.

The previous prime is 6896329439947. The next prime is 6896329440001. The reversal of 6896329440000 is 449236986.

It is not an unprimeable number, because it can be changed into a prime (6896329440001) 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 319 ways as a sum of consecutive naturals, for example, 14894879769 + ... + 14894880231.

Almost surely, 2^{6896329440000} is an apocalyptic number.

6896329440000 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 6896329440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928290115584).

6896329440000 is an abundant number, since it is smaller than the sum of its proper divisors (24960250791168).

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

6896329440000 is a wasteful number, since it uses less digits than its factorization.

6896329440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 6896329440000 in words is "six trillion, eight hundred ninety-six billion, three hundred twenty-nine million, four hundred forty thousand".