6657116607 has 48 divisors (see below), whose sum is σ = 10121379840. Its totient is φ = 4211222400.

The previous prime is 6657116603. The next prime is 6657116611. The reversal of 6657116607 is 7066117566.

6657116607 is a `hidden beast` number, since 6 + 6 + 571 + 16 + 60 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (6657116603) and next prime (6657116611).

It is not a de Polignac number, because 6657116607 - 2² = 6657116603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6657116603) 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 47 ways as a sum of consecutive naturals, for example, 3152482 + ... + 3154592.

It is an arithmetic number, because the mean of its divisors is an integer number (210862080).

Almost surely, 2^6657116607 is an apocalyptic number.

6657116607 is a deficient number, since it is larger than the sum of its proper divisors (3464263233).

6657116607 is a wasteful number, since it uses less digits than its factorization.

6657116607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 6657116607 is about 81591.1552007937. The cubic root of 6657116607 is about 1881.1729332682.

The spelling of 6657116607 in words is "six billion, six hundred fifty-seven million, one hundred sixteen thousand, six hundred seven".