668362752 has 288 divisors, whose sum is σ = 2146435200. Its totient is φ = 207028224.

The previous prime is 668362711. The next prime is 668362789. The reversal of 668362752 is 257263866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×668362752² = 893417536522027008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 668362698 and 668362707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8460249 + ... + 8460327.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^668362752 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 668362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

668362752 is an abundant number, since it is smaller than the sum of its proper divisors (1478072448).

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

668362752 is an equidigital number, since it uses as much as digits as its factorization.

668362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 668362752 is about 25852.7126623107. The cubic root of 668362752 is about 874.3206708712.

The spelling of 668362752 in words is "six hundred sixty-eight million, three hundred sixty-two thousand, seven hundred fifty-two".