667764405 has 320 divisors, whose sum is σ = 1672704000. Its totient is φ = 251475840.

The previous prime is 667764389. The next prime is 667764413. The reversal of 667764405 is 504467766.

It is a happy number.

It is not a de Polignac number, because 667764405 - 2⁴ = 667764389 is a prime.

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

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 319 ways as a sum of consecutive naturals, for example, 29033224 + ... + 29033246.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2^667764405 is an apocalyptic number.

It is an amenable number.

667764405 is an abundant number, since it is smaller than the sum of its proper divisors (1004939595).

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

667764405 is a wasteful number, since it uses less digits than its factorization.

667764405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 667764405 is about 25841.1378425951. The cubic root of 667764405 is about 874.0596831859.

The spelling of 667764405 in words is "six hundred sixty-seven million, seven hundred sixty-four thousand, four hundred five".