1668405264 has 80 divisors (see below), whose sum is σ = 4503193920. Its totient is φ = 531596800.

The previous prime is 1668405229. The next prime is 1668405269. The reversal of 1668405264 is 4625048661.

It is a super-2 number, since 2×1668405264² = 5567152249885819392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1668405269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134659 + ... + 146525.

It is an arithmetic number, because the mean of its divisors is an integer number (56289924).

Almost surely, 2^1668405264 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 1668405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251596960).

1668405264 is an abundant number, since it is smaller than the sum of its proper divisors (2834788656).

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

1668405264 is a wasteful number, since it uses less digits than its factorization.

1668405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1668405264 is about 40846.1168778625. The cubic root of 1668405264 is about 1186.0432252407.

The spelling of 1668405264 in words is "one billion, six hundred sixty-eight million, four hundred five thousand, two hundred sixty-four".