4664116656 has 240 divisors, whose sum is σ = 14327971840. Its totient is φ = 1410877440.

The previous prime is 4664116631. The next prime is 4664116693. The reversal of 4664116656 is 6566114664.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10771416 + ... + 10771848.

Almost surely, 2^4664116656 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 4664116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163985920).

4664116656 is an abundant number, since it is smaller than the sum of its proper divisors (9663855184).

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

4664116656 is a wasteful number, since it uses less digits than its factorization.

4664116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 4664116656 is about 68294.3383890641. The cubic root of 4664116656 is about 1670.7948761207.

The spelling of 4664116656 in words is "four billion, six hundred sixty-four million, one hundred sixteen thousand, six hundred fifty-six".