1668832416 has 48 divisors (see below), whose sum is σ = 4867430400. Its totient is φ = 556277184.

The previous prime is 1668832411. The next prime is 1668832441. The reversal of 1668832416 is 6142388661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1668832411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964896 + ... + 966623.

It is an arithmetic number, because the mean of its divisors is an integer number (101404800).

Almost surely, 2^1668832416 is an apocalyptic number.

1668832416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1668832416 is an abundant number, since it is smaller than the sum of its proper divisors (3198597984).

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

1668832416 is a wasteful number, since it uses less digits than its factorization.

1668832416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931538 (or 1931524 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1668832416 is about 40851.3453389237. The cubic root of 1668832416 is about 1186.1444351640.

The spelling of 1668832416 in words is "one billion, six hundred sixty-eight million, eight hundred thirty-two thousand, four hundred sixteen".