716706144 has 576 divisors, whose sum is σ = 2826835200. Its totient is φ = 176359680.

The previous prime is 716706119. The next prime is 716706157. The reversal of 716706144 is 441607617.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 716706099 and 716706108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37721367 + ... + 37721385.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^716706144 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 716706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413417600).

716706144 is an abundant number, since it is smaller than the sum of its proper divisors (2110129056).

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

716706144 is a wasteful number, since it uses less digits than its factorization.

716706144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 716706144 is about 26771.3679889542. The cubic root of 716706144 is about 894.9120910713.

The spelling of 716706144 in words is "seven hundred sixteen million, seven hundred six thousand, one hundred forty-four".