664779747977466 has 96 divisors (see below), whose sum is σ = 1548406442265984. Its totient is φ = 189473017958400.

The previous prime is 664779747977461. The next prime is 664779747977479.

664779747977466 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×664779747977466² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664779747977461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825066 + ... + 36472458.

It is an arithmetic number, because the mean of its divisors is an integer number (16129233773604).

Almost surely, 2^{664779747977466} is an apocalyptic number.

664779747977466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664779747977466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774203221132992).

664779747977466 is an abundant number, since it is smaller than the sum of its proper divisors (883626694288518).

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

664779747977466 is a wasteful number, since it uses less digits than its factorization.

664779747977466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35648948 (or 35648937 counting only the distinct ones).

The product of its digits is 790420571136, while the sum is 96.

The spelling of 664779747977466 in words is "six hundred sixty-four trillion, seven hundred seventy-nine billion, seven hundred forty-seven million, nine hundred seventy-seven thousand, four hundred sixty-six".