1668945600 has 336 divisors, whose sum is σ = 6954316800. Its totient is φ = 381404160.

The previous prime is 1668945599. The next prime is 1668945601. The reversal of 1668945600 is 65498661.

1668945600 is a `hidden beast` number, since 1 + 6 + 6 + 89 + 4 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1668945599) and next prime (1668945601).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1668945601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299641 + ... + 305159.

Almost surely, 2^1668945600 is an apocalyptic number.

1668945600 is a gapful number since it is divisible by the number (10) 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 1668945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477158400).

1668945600 is an abundant number, since it is smaller than the sum of its proper divisors (5285371200).

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

1668945600 is a wasteful number, since it uses less digits than its factorization.

1668945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1668945600 is about 40852.7306308893. The cubic root of 1668945600 is about 1186.1712502265.

The spelling of 1668945600 in words is "one billion, six hundred sixty-eight million, nine hundred forty-five thousand, six hundred".