1668274800 has 120 divisors (see below), whose sum is σ = 5371928496. Its totient is φ = 442552320.

The previous prime is 1668274781. The next prime is 1668274807. The reversal of 1668274800 is 84728661.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668274807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232872 + ... + 239928.

Almost surely, 2^1668274800 is an apocalyptic number.

1668274800 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 1668274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685964248).

1668274800 is an abundant number, since it is smaller than the sum of its proper divisors (3703653696).

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

1668274800 is a wasteful number, since it uses less digits than its factorization.

1668274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1668274800 is about 40844.5198282462. The cubic root of 1668274800 is about 1186.0123094954.

The spelling of 1668274800 in words is "one billion, six hundred sixty-eight million, two hundred seventy-four thousand, eight hundred".