1668100000 has 144 divisors (see below), whose sum is σ = 4693199616. Its totient is φ = 571680000.

The previous prime is 1668099977. The next prime is 1668100013. The reversal of 1668100000 is 18661.

It is a super-2 number, since 2×1668100000² = 5565115220000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698809 + ... + 701191.

It is an arithmetic number, because the mean of its divisors is an integer number (32591664).

Almost surely, 2^1668100000 is an apocalyptic number.

1668100000 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 1668100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346599808).

1668100000 is an abundant number, since it is smaller than the sum of its proper divisors (3025099616).

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

1668100000 is an frugal number, since it uses more digits than its factorization.

1668100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1668100000 is about 40842.3799502429. The cubic root of 1668100000 is about 1185.9708850264.

Adding to 1668100000 its reverse (18661), we get a palindrome (1668118661).

The spelling of 1668100000 in words is "one billion, six hundred sixty-eight million, one hundred thousand".