1668159360 has 320 divisors, whose sum is σ = 6809821920. Its totient is φ = 381210624.

The previous prime is 1668159347. The next prime is 1668159377. The reversal of 1668159360 is 639518661.

1668159360 is a `hidden beast` number, since 166 + 81 + 59 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360582 + ... + 365178.

Almost surely, 2^1668159360 is an apocalyptic number.

1668159360 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 1668159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404910960).

1668159360 is an abundant number, since it is smaller than the sum of its proper divisors (5141662560).

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

1668159360 is an equidigital number, since it uses as much as digits as its factorization.

1668159360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1668159360 is about 40843.1066399215. The cubic root of 1668159360 is about 1185.9849526077.

It can be divided in two parts, 1668 and 159360, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 1668159360 in words is "one billion, six hundred sixty-eight million, one hundred fifty-nine thousand, three hundred sixty".