716731680 has 384 divisors, whose sum is σ = 2767564800. Its totient is φ = 152285184.

The previous prime is 716731669. The next prime is 716731709. The reversal of 716731680 is 86137617.

It is a super-2 number, since 2×716731680² = 1027408602231244800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6575466 + ... + 6575574.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^716731680 is an apocalyptic number.

716731680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

716731680 is an abundant number, since it is smaller than the sum of its proper divisors (2050833120).

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

716731680 is a wasteful number, since it uses less digits than its factorization.

716731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 716731680 is about 26771.8449121460. The cubic root of 716731680 is about 894.9227194178.

The spelling of 716731680 in words is "seven hundred sixteen million, seven hundred thirty-one thousand, six hundred eighty".