668140704 has 384 divisors, whose sum is σ = 2479196160. Its totient is φ = 171452160.

The previous prime is 668140703. The next prime is 668140763. The reversal of 668140704 is 407041866.

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

It is not an unprimeable number, because it can be changed into a prime (668140703) 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, 8049847 + ... + 8049929.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2^668140704 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 668140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239598080).

668140704 is an abundant number, since it is smaller than the sum of its proper divisors (1811055456).

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

668140704 is a wasteful number, since it uses less digits than its factorization.

668140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 668140704 is about 25848.4178239211. The cubic root of 668140704 is about 874.2238359018.

The spelling of 668140704 in words is "six hundred sixty-eight million, one hundred forty thousand, seven hundred four".