6675096960 has 192 divisors, whose sum is σ = 26342952480. Its totient is φ = 1525727232.

The previous prime is 6675096943. The next prime is 6675096991. The reversal of 6675096960 is 696905766.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 6675096897 and 6675096906.

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 23 ways as a sum of consecutive naturals, for example, 42457 + ... + 123096.

Almost surely, 2^6675096960 is an apocalyptic number.

6675096960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6675096960 is an abundant number, since it is smaller than the sum of its proper divisors (19667855520).

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

6675096960 is a wasteful number, since it uses less digits than its factorization.

6675096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165585 (or 165570 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 6675096960 is about 81701.2665752496. The cubic root of 6675096960 is about 1882.8650445764.

The spelling of 6675096960 in words is "six billion, six hundred seventy-five million, ninety-six thousand, nine hundred sixty".