6642662466 has 128 divisors (see below), whose sum is σ = 15931837440. Its totient is φ = 1824249600.

The previous prime is 6642662461. The next prime is 6642662471.

6642662466 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6642662461) and next prime (6642662471).

It is not an unprimeable number, because it can be changed into a prime (6642662461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829105 + ... + 2831451.

It is an arithmetic number, because the mean of its divisors is an integer number (124467480).

Almost surely, 2^6642662466 is an apocalyptic number.

6642662466 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 6642662466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965918720).

6642662466 is an abundant number, since it is smaller than the sum of its proper divisors (9289174974).

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

6642662466 is a wasteful number, since it uses less digits than its factorization.

6642662466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480.

The product of its digits is 2985984, while the sum is 48.

The square root of 6642662466 is about 81502.5304269751. The cubic root of 6642662466 is about 1879.8104594260.

The spelling of 6642662466 in words is "six billion, six hundred forty-two million, six hundred sixty-two thousand, four hundred sixty-six".