668414970 has 128 divisors (see below), whose sum is σ = 1823662080. Its totient is φ = 174182400.

The previous prime is 668414969. The next prime is 668414977. The reversal of 668414970 is 79414866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (668414977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3463194 + ... + 3463386.

It is an arithmetic number, because the mean of its divisors is an integer number (14247360).

Almost surely, 2^668414970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668414970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911831040).

668414970 is an abundant number, since it is smaller than the sum of its proper divisors (1155247110).

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

668414970 is a wasteful number, since it uses less digits than its factorization.

668414970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 668414970 is about 25853.7225559493. The cubic root of 668414970 is about 874.3434399876.

The spelling of 668414970 in words is "six hundred sixty-eight million, four hundred fourteen thousand, nine hundred seventy".