712606105600 has 135 divisors (see below), whose sum is σ = 1768550034937. Its totient is φ = 284826337280.

The previous prime is 712606105583. The next prime is 712606105613. The reversal of 712606105600 is 6501606217.

It is a happy number.

The square root of 712606105600 is 844160.

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

It can be written as a sum of positive squares in only one way, i.e., 256538198016 + 456067907584 = 506496^2 + 675328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540261741 + ... + 540263059.

Almost surely, 2^712606105600 is an apocalyptic number.

712606105600 is the 844160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712606105600

712606105600 is an abundant number, since it is smaller than the sum of its proper divisors (1055943929337).

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

712606105600 is an frugal number, since it uses more digits than its factorization.

712606105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 712606105600 in words is "seven hundred twelve billion, six hundred six million, one hundred five thousand, six hundred".