716147764500168 has 3072 divisors, whose sum is σ = 2982861884620800. Its totient is φ = 154823643648000.

The previous prime is 716147764500163. The next prime is 716147764500193. The reversal of 716147764500168 is 861005467741617.

It is a happy number.

716147764500168 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 4 + 7 + 7 + 64 + 500 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (716147764500163) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 69915816855 + ... + 69915827097.

It is an arithmetic number, because the mean of its divisors is an integer number (970983686400).

Almost surely, 2^{716147764500168} is an apocalyptic number.

716147764500168 is a gapful number since it is divisible by the number (78) 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 716147764500168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491430942310400).

716147764500168 is an abundant number, since it is smaller than the sum of its proper divisors (2266714120120632).

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

716147764500168 is a wasteful number, since it uses less digits than its factorization.

716147764500168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 716147764500168 in words is "seven hundred sixteen trillion, one hundred forty-seven billion, seven hundred sixty-four million, five hundred thousand, one hundred sixty-eight".