667564900 has 18 divisors (see below), whose sum is σ = 1448616050. Its totient is φ = 267025920.

The previous prime is 667564889. The next prime is 667564901. The reversal of 667564900 is 9465766.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 658127716 = 3072^2 + 25654^2 .

It is not an unprimeable number, because it can be changed into a prime (667564901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3337725 + ... + 3337924.

Almost surely, 2^667564900 is an apocalyptic number.

It is an amenable number.

667564900 is an abundant number, since it is smaller than the sum of its proper divisors (781051150).

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

667564900 is a wasteful number, since it uses less digits than its factorization.

667564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675663 (or 6675656 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 667564900 is about 25837.2773333415. The cubic root of 667564900 is about 873.9726282082.

The spelling of 667564900 in words is "six hundred sixty-seven million, five hundred sixty-four thousand, nine hundred".