716242464 has 144 divisors (see below), whose sum is σ = 2408253120. Its totient is φ = 197568000.

The previous prime is 716242463. The next prime is 716242511. The reversal of 716242464 is 464242617.

716242464 is a `hidden beast` number, since 7 + 1 + 624 + 24 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is not an unprimeable number, because it can be changed into a prime (716242463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52339 + ... + 64589.

It is an arithmetic number, because the mean of its divisors is an integer number (16723980).

Almost surely, 2^716242464 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 716242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204126560).

716242464 is an abundant number, since it is smaller than the sum of its proper divisors (1692010656).

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

716242464 is a wasteful number, since it uses less digits than its factorization.

716242464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12292 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 716242464 is about 26762.7065895810. The cubic root of 716242464 is about 894.7190587479.

It can be divided in two parts, 71624 and 2464, that added together give a cube (74088 = 42³).

The spelling of 716242464 in words is "seven hundred sixteen million, two hundred forty-two thousand, four hundred sixty-four".