668610000 has 600 divisors, whose sum is σ = 2719379520. Its totient is φ = 152064000.

The previous prime is 668609987. The next prime is 668610011. The reversal of 668610000 is 16866.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29069989 + ... + 29070011.

Almost surely, 2^668610000 is an apocalyptic number.

668610000 is a gapful number since it is divisible by the number (60) 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 668610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359689760).

668610000 is an abundant number, since it is smaller than the sum of its proper divisors (2050769520).

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

668610000 is a wasteful number, since it uses less digits than its factorization.

668610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 668610000 is about 25857.4940781198. The cubic root of 668610000 is about 874.4284703088.

Adding to 668610000 its reverse (16866), we get a palindrome (668626866).

The spelling of 668610000 in words is "six hundred sixty-eight million, six hundred ten thousand".