1668560000 has 80 divisors (see below), whose sum is σ = 4153974990. Its totient is φ = 667392000.

The previous prime is 1668559987. The next prime is 1668560009. The reversal of 1668560000 is 658661.

It can be written as a sum of positive squares in 5 ways, for example, as 284124736 + 1384435264 = 16856^2 + 37208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1668560009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69572 + ... + 90428.

Almost surely, 2^1668560000 is an apocalyptic number.

1668560000 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 1668560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076987495).

1668560000 is an abundant number, since it is smaller than the sum of its proper divisors (2485414990).

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

1668560000 is an frugal number, since it uses more digits than its factorization.

1668560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20891 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1668560000 is about 40848.0109674878. The cubic root of 1668560000 is about 1186.0798905752.

The spelling of 1668560000 in words is "one billion, six hundred sixty-eight million, five hundred sixty thousand".