6961875957 has 24 divisors (see below), whose sum is σ = 10503762048. Its totient is φ = 4435015200.

The previous prime is 6961875953. The next prime is 6961875959. The reversal of 6961875957 is 7595781696.

6961875957 is a `hidden beast` number, since 6 + 9 + 618 + 7 + 5 + 9 + 5 + 7 = 666.

It is not a de Polignac number, because 6961875957 - 2² = 6961875953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6961875894 and 6961875903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961875953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197107 + ... + 229727.

It is an arithmetic number, because the mean of its divisors is an integer number (437656752).

Almost surely, 2^6961875957 is an apocalyptic number.

It is an amenable number.

6961875957 is a deficient number, since it is larger than the sum of its proper divisors (3541886091).

6961875957 is a wasteful number, since it uses less digits than its factorization.

6961875957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33681 (or 33678 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The square root of 6961875957 is about 83437.8568576638. The cubic root of 6961875957 is about 1909.4520651693.

The spelling of 6961875957 in words is "six billion, nine hundred sixty-one million, eight hundred seventy-five thousand, nine hundred fifty-seven".