4662442664 has 48 divisors (see below), whose sum is σ = 9725002560. Its totient is φ = 2093722400.

The previous prime is 4662442649. The next prime is 4662442703.

4662442664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51329 + ... + 109359.

It is an arithmetic number, because the mean of its divisors is an integer number (202604220).

Almost surely, 2^4662442664 is an apocalyptic number.

4662442664 is a gapful number since it is divisible by the number (44) 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 4662442664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

4662442664 is an abundant number, since it is smaller than the sum of its proper divisors (5062559896).

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

4662442664 is a wasteful number, since it uses less digits than its factorization.

4662442664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58142 (or 58127 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The square root of 4662442664 is about 68282.0815734260. The cubic root of 4662442664 is about 1670.5949646020.

The spelling of 4662442664 in words is "four billion, six hundred sixty-two million, four hundred forty-two thousand, six hundred sixty-four".