716464320 has 448 divisors, whose sum is σ = 2838882816. Its totient is φ = 150405120.

The previous prime is 716464313. The next prime is 716464339. The reversal of 716464320 is 23464617.

It is a happy number.

It is a super-2 number, since 2×716464320² = 1026642243666124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 2333607 + ... + 2333913.

It is an arithmetic number, because the mean of its divisors is an integer number (6336792).

Almost surely, 2^716464320 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 716464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419441408).

716464320 is an abundant number, since it is smaller than the sum of its proper divisors (2122418496).

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

716464320 is a wasteful number, since it uses less digits than its factorization.

716464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 716464320 is about 26766.8511409168. The cubic root of 716464320 is about 894.8114289111.

The spelling of 716464320 in words is "seven hundred sixteen million, four hundred sixty-four thousand, three hundred twenty".