664884786965568 has 1344 divisors, whose sum is σ = 2135060499382272. Its totient is φ = 181606998343680.

The previous prime is 664884786965473. The next prime is 664884786965747. The reversal of 664884786965568 is 865569687488466.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 546330966496 + ... + 546330967712.

It is an arithmetic number, because the mean of its divisors is an integer number (1588586681088).

Almost surely, 2^{664884786965568} is an apocalyptic number.

664884786965568 is a gapful number since it is divisible by the number (68) 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 664884786965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067530249691136).

664884786965568 is an abundant number, since it is smaller than the sum of its proper divisors (1470175712416704).

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

664884786965568 is a wasteful number, since it uses less digits than its factorization.

664884786965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2069 counting only the distinct ones).

The product of its digits is 802632499200, while the sum is 96.

The spelling of 664884786965568 in words is "six hundred sixty-four trillion, eight hundred eighty-four billion, seven hundred eighty-six million, nine hundred sixty-five thousand, five hundred sixty-eight".