716688000 has 640 divisors, whose sum is σ = 3080563200. Its totient is φ = 161740800.

The previous prime is 716687957. The next prime is 716688019. The reversal of 716688000 is 886617.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071961 + ... + 9072039.

It is an arithmetic number, because the mean of its divisors is an integer number (4813380).

Almost surely, 2^716688000 is an apocalyptic number.

716688000 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 716688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540281600).

716688000 is an abundant number, since it is smaller than the sum of its proper divisors (2363875200).

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

716688000 is an equidigital number, since it uses as much as digits as its factorization.

716688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 716688000 is about 26771.0291173126. The cubic root of 716688000 is about 894.9045391979.

The spelling of 716688000 in words is "seven hundred sixteen million, six hundred eighty-eight thousand".