716593483585728 has 1344 divisors, whose sum is σ = 2768589742464000. Its totient is φ = 182554999603200.

The previous prime is 716593483585717. The next prime is 716593483585729. The reversal of 716593483585728 is 827585384395617.

716593483585728 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 9 + 3 + 4 + 8 + 3 + 585 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (716593483585729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1722782578 + ... + 1723198478.

It is an arithmetic number, because the mean of its divisors is an integer number (2059962606000).

Almost surely, 2^{716593483585728} 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 716593483585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384294871232000).

716593483585728 is an abundant number, since it is smaller than the sum of its proper divisors (2051996258878272).

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

716593483585728 is a wasteful number, since it uses less digits than its factorization.

716593483585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415985 (or 415949 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 716593483585728 in words is "seven hundred sixteen trillion, five hundred ninety-three billion, four hundred eighty-three million, five hundred eighty-five thousand, seven hundred twenty-eight".