666301603968 has 2560 divisors, whose sum is σ = 2919426048000. Its totient is φ = 145118822400.

The previous prime is 666301603963. The next prime is 666301604069. The reversal of 666301603968 is 869306103666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (666301603963) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6112858698 + ... + 6112858806.

It is an arithmetic number, because the mean of its divisors is an integer number (1140400800).

Almost surely, 2^666301603968 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 666301603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459713024000).

666301603968 is an abundant number, since it is smaller than the sum of its proper divisors (2253124444032).

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

666301603968 is a wasteful number, since it uses less digits than its factorization.

666301603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 666301603968 in words is "six hundred sixty-six billion, three hundred one million, six hundred three thousand, nine hundred sixty-eight".