716145264 has 240 divisors, whose sum is σ = 2271952800. Its totient is φ = 209240064.

The previous prime is 716145259. The next prime is 716145271. The reversal of 716145264 is 462541617.

716145264 is a `hidden beast` number, since 71 + 61 + 4 + 526 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139482 + ... + 4139654.

It is an arithmetic number, because the mean of its divisors is an integer number (9466470).

Almost surely, 2^716145264 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 716145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135976400).

716145264 is an abundant number, since it is smaller than the sum of its proper divisors (1555807536).

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

716145264 is a wasteful number, since it uses less digits than its factorization.

716145264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 716145264 is about 26760.8905681407. The cubic root of 716145264 is about 894.6785833357.

It can be divided in two parts, 7161 and 45264, that added together give a palindrome (52425).

The spelling of 716145264 in words is "seven hundred sixteen million, one hundred forty-five thousand, two hundred sixty-four".