6660795703968 has 960 divisors, whose sum is σ = 23722569142272. Its totient is φ = 1792396615680.

The previous prime is 6660795703963. The next prime is 6660795703997. The reversal of 6660795703968 is 8693075970666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6660795703896 and 6660795703905.

It is not an unprimeable number, because it can be changed into a prime (6660795703963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10358935455 + ... + 10358936097.

Almost surely, 2^{6660795703968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6660795703968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861284571136).

6660795703968 is an abundant number, since it is smaller than the sum of its proper divisors (17061773438304).

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

6660795703968 is a wasteful number, since it uses less digits than its factorization.

6660795703968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 6660795703968 in words is "six trillion, six hundred sixty billion, seven hundred ninety-five million, seven hundred three thousand, nine hundred sixty-eight".