716448960 has 168 divisors, whose sum is σ = 2594183280. Its totient is φ = 180983808.

The previous prime is 716448947. The next prime is 716449007. The reversal of 716448960 is 69844617.

716448960 is a `hidden beast` number, since 7 + 164 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×716448960² = 1026598224570163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 48174 + ... + 61266.

Almost surely, 2^716448960 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 716448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297091640).

716448960 is an abundant number, since it is smaller than the sum of its proper divisors (1877734320).

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

716448960 is a wasteful number, since it uses less digits than its factorization.

716448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135 (or 13122 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 716448960 is about 26766.5642173216. The cubic root of 716448960 is about 894.8050343607.

The spelling of 716448960 in words is "seven hundred sixteen million, four hundred forty-eight thousand, nine hundred sixty".