716789417363712 has 4608 divisors, whose sum is σ = 2974468254105600. Its totient is φ = 164628843724800.

The previous prime is 716789417363699. The next prime is 716789417363731. The reversal of 716789417363712 is 217363714987617.

716789417363712 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 89 + 4 + 173 + 6 + 371 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1259735355364 + ... + 1259735355932.

It is an arithmetic number, because the mean of its divisors is an integer number (645500923200).

Almost surely, 2^{716789417363712} is an apocalyptic number.

716789417363712 is a gapful number since it is divisible by the number (72) 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 716789417363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487234127052800).

716789417363712 is an abundant number, since it is smaller than the sum of its proper divisors (2257678836741888).

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

716789417363712 is a wasteful number, since it uses less digits than its factorization.

716789417363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 770 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 716789417363712 in words is "seven hundred sixteen trillion, seven hundred eighty-nine billion, four hundred seventeen million, three hundred sixty-three thousand, seven hundred twelve".