665361656341200 has 720 divisors, whose sum is σ = 2847972082009600. Its totient is φ = 140080760709120.

The previous prime is 665361656341183. The next prime is 665361656341243. The reversal of 665361656341200 is 2143656163566.

665361656341200 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 6 + 16 + 563 + 41 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×665361656341200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149485476 + ... + 153872124.

Almost surely, 2^{665361656341200} is an apocalyptic number.

665361656341200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665361656341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423986041004800).

665361656341200 is an abundant number, since it is smaller than the sum of its proper divisors (2182610425668400).

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

665361656341200 is a wasteful number, since it uses less digits than its factorization.

665361656341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387156 (or 4387142 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 665361656341200 in words is "six hundred sixty-five trillion, three hundred sixty-one billion, six hundred fifty-six million, three hundred forty-one thousand, two hundred".