716325249600 has 315 divisors, whose sum is σ = 2634151869481. Its totient is φ = 190938816000.

The previous prime is 716325249581. The next prime is 716325249611. The reversal of 716325249600 is 6942523617.

The square root of 716325249600 is 846360.

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

716325249600 is a `hidden beast` number, since 7 + 1 + 6 + 32 + 5 + 2 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257877089856 + 458448159744 = 507816^2 + 677088^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 304688425 + ... + 304690775.

Almost surely, 2^716325249600 is an apocalyptic number.

716325249600 is the 846360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716325249600

716325249600 is an abundant number, since it is smaller than the sum of its proper divisors (1917826619881).

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

716325249600 is an frugal number, since it uses more digits than its factorization.

716325249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 716325249600 in words is "seven hundred sixteen billion, three hundred twenty-five million, two hundred forty-nine thousand, six hundred".