1668441672 has 64 divisors (see below), whose sum is σ = 4671129600. Its totient is φ = 551759040.

The previous prime is 1668441653. The next prime is 1668441679. The reversal of 1668441672 is 2761448661.

1668441672 is a `hidden beast` number, since 166 + 8 + 4 + 416 + 72 = 666.

It is a super-3 number, since 3×1668441672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1668441679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979 + ... + 57842.

It is an arithmetic number, because the mean of its divisors is an integer number (72986400).

Almost surely, 2^1668441672 is an apocalyptic number.

1668441672 is a gapful number since it is divisible by the number (12) 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 1668441672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335564800).

1668441672 is an abundant number, since it is smaller than the sum of its proper divisors (3002687928).

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

1668441672 is a wasteful number, since it uses less digits than its factorization.

1668441672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60963 (or 60953 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1668441672 is about 40846.5625481509. The cubic root of 1668441672 is about 1186.0518524707.

The spelling of 1668441672 in words is "one billion, six hundred sixty-eight million, four hundred forty-one thousand, six hundred seventy-two".