668650752 has 216 divisors, whose sum is σ = 2404234560. Its totient is φ = 173629440.

The previous prime is 668650747. The next prime is 668650757. The reversal of 668650752 is 257056866.

668650752 is a `hidden beast` number, since 66 + 86 + 507 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (668650747) and next prime (668650757).

It is a junction number, because it is equal to n+sod(n) for n = 668650698 and 668650707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668650757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175524 + ... + 179292.

Almost surely, 2^668650752 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 668650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202117280).

668650752 is an abundant number, since it is smaller than the sum of its proper divisors (1735583808).

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

668650752 is a wasteful number, since it uses less digits than its factorization.

668650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 668650752 is about 25858.2820775086. The cubic root of 668650752 is about 874.4462355157.

The spelling of 668650752 in words is "six hundred sixty-eight million, six hundred fifty thousand, seven hundred fifty-two".