665807040900 has 243 divisors, whose sum is σ = 2127521477263. Its totient is φ = 174160636800.

The previous prime is 665807040889. The next prime is 665807040919. The reversal of 665807040900 is 9040708566.

The square root of 665807040900 is 815970.

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

665807040900 is a `hidden beast` number, since 66 + 580 + 7 + 0 + 4 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68067766404 + 597739274496 = 260898^2 + 773136^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1444266670 + ... + 1444267130.

Almost surely, 2^665807040900 is an apocalyptic number.

665807040900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

665807040900 is the 815970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665807040900

665807040900 is an abundant number, since it is smaller than the sum of its proper divisors (1461714436363).

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

665807040900 is a wasteful number, since it uses less digits than its factorization.

665807040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 665807040900 in words is "six hundred sixty-five billion, eight hundred seven million, forty thousand, nine hundred".