4656662010 has 576 divisors, whose sum is σ = 16954269696. Its totient is φ = 862202880.

The previous prime is 4656661969. The next prime is 4656662011. The reversal of 4656662010 is 102666564.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4656662011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36666567 + ... + 36666693.

It is an arithmetic number, because the mean of its divisors is an integer number (29434496).

Almost surely, 2^4656662010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656662010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477134848).

4656662010 is an abundant number, since it is smaller than the sum of its proper divisors (12297607686).

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

4656662010 is a wasteful number, since it uses less digits than its factorization.

4656662010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4656662010 is about 68239.7392286928. The cubic root of 4656662010 is about 1669.9042590361.

It can be divided in two parts, 4656 and 662010, that added together give a palindrome (666666).

The spelling of 4656662010 in words is "four billion, six hundred fifty-six million, six hundred sixty-two thousand, ten".