712978992636300 has 2304 divisors, whose sum is σ = 2657029939200000. Its totient is φ = 162761643233280.

The previous prime is 712978992636299. The next prime is 712978992636311. The reversal of 712978992636300 is 3636299879217.

712978992636300 is a `hidden beast` number, since 7 + 1 + 297 + 8 + 9 + 9 + 26 + 3 + 6 + 300 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 488676484971 + ... + 488676486429.

It is an arithmetic number, because the mean of its divisors is an integer number (1153224800000).

Almost surely, 2^{712978992636300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712978992636300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328514969600000).

712978992636300 is an abundant number, since it is smaller than the sum of its proper divisors (1944050946563700).

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

712978992636300 is a wasteful number, since it uses less digits than its factorization.

712978992636300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 712978992636300 in words is "seven hundred twelve trillion, nine hundred seventy-eight billion, nine hundred ninety-two million, six hundred thirty-six thousand, three hundred".