667587043600 has 45 divisors (see below), whose sum is σ = 1603917132943. Its totient is φ = 267028280960.

The previous prime is 667587043499. The next prime is 667587043633. The reversal of 667587043600 is 6340785766.

It is a happy number.

The square root of 667587043600 is 817060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 196969091344 + 470617952256 = 443812^2 + 686016^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 16320774 + ... + 16361626.

Almost surely, 2^667587043600 is an apocalyptic number.

667587043600 is the 817060-th square number.

It is an amenable number.

667587043600 is an abundant number, since it is smaller than the sum of its proper divisors (936330089343).

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

667587043600 is an frugal number, since it uses more digits than its factorization.

667587043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81724 (or 40860 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 667587043600 in words is "six hundred sixty-seven billion, five hundred eighty-seven million, forty-three thousand, six hundred".