6960896040960 has 784 divisors, whose sum is σ = 25280134945344. Its totient is φ = 1838920237056.

The previous prime is 6960896040913. The next prime is 6960896040991. The reversal of 6960896040960 is 690406980696.

6960896040960 is a `hidden beast` number, since 6 + 96 + 0 + 89 + 6 + 0 + 409 + 60 = 666.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 3374160889 + ... + 3374162951.

Almost surely, 2^{6960896040960} is an apocalyptic number.

6960896040960 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 6960896040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640067472672).

6960896040960 is an abundant number, since it is smaller than the sum of its proper divisors (18319238904384).

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

6960896040960 is an equidigital number, since it uses as much as digits as its factorization.

6960896040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 6960896040960 in words is "six trillion, nine hundred sixty billion, eight hundred ninety-six million, forty thousand, nine hundred sixty".