1668153600 has 162 divisors, whose sum is σ = 5964231546. Its totient is φ = 444825600.

The previous prime is 1668153589. The next prime is 1668153649. The reversal of 1668153600 is 63518661.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 420086016 + 1248067584 = 20496^2 + 35328^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43120 + ... + 72080.

Almost surely, 2^1668153600 is an apocalyptic number.

1668153600 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 1668153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982115773).

1668153600 is an abundant number, since it is smaller than the sum of its proper divisors (4296077946).

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

1668153600 is a wasteful number, since it uses less digits than its factorization.

1668153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28993 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1668153600 is about 40843.0361261256. The cubic root of 1668153600 is about 1185.9835875740.

The spelling of 1668153600 in words is "one billion, six hundred sixty-eight million, one hundred fifty-three thousand, six hundred".