6960023696160 has 1152 divisors, whose sum is σ = 26588246630400. Its totient is φ = 1649955225600.

The previous prime is 6960023696147. The next prime is 6960023696191. The reversal of 6960023696160 is 616963200696.

It is a happy number.

6960023696160 is a `hidden beast` number, since 6 + 9 + 600 + 23 + 6 + 9 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×6960023696160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6960023696097 and 6960023696106.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 8456893509 + ... + 8456894331.

It is an arithmetic number, because the mean of its divisors is an integer number (23080075200).

Almost surely, 2^{6960023696160} is an apocalyptic number.

6960023696160 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 6960023696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294123315200).

6960023696160 is an abundant number, since it is smaller than the sum of its proper divisors (19628222934240).

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

6960023696160 is a wasteful number, since it uses less digits than its factorization.

6960023696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 6960023696160 in words is "six trillion, nine hundred sixty billion, twenty-three million, six hundred ninety-six thousand, one hundred sixty".