667635345 has 64 divisors (see below), whose sum is σ = 1286342400. Its totient is φ = 328536000.

The previous prime is 667635307. The next prime is 667635347. The reversal of 667635345 is 543536766.

667635345 is a `hidden beast` number, since 6 + 6 + 7 + 635 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 667635345 - 2¹¹ = 667633297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 667635345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667635347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295470 + ... + 297720.

It is an arithmetic number, because the mean of its divisors is an integer number (20099100).

Almost surely, 2^667635345 is an apocalyptic number.

667635345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

667635345 is a deficient number, since it is larger than the sum of its proper divisors (618707055).

667635345 is a wasteful number, since it uses less digits than its factorization.

667635345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2272 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 667635345 is about 25838.6405408644. The cubic root of 667635345 is about 874.0033692075.

The spelling of 667635345 in words is "six hundred sixty-seven million, six hundred thirty-five thousand, three hundred forty-five".