1330668000 has 432 divisors, whose sum is σ = 5033390544. Its totient is φ = 345254400.

The previous prime is 1330667993. The next prime is 1330668041. The reversal of 1330668000 is 8660331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35963982 + ... + 35964018.

It is an arithmetic number, because the mean of its divisors is an integer number (11651367).

Almost surely, 2^1330668000 is an apocalyptic number.

1330668000 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 1330668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516695272).

1330668000 is an abundant number, since it is smaller than the sum of its proper divisors (3702722544).

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

1330668000 is an frugal number, since it uses more digits than its factorization.

1330668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1330668000 is about 36478.3223298441. The cubic root of 1330668000 is about 1099.9085323394.

The spelling of 1330668000 in words is "one billion, three hundred thirty million, six hundred sixty-eight thousand".