1668325400 has 144 divisors (see below), whose sum is σ = 4679990640. Its totient is φ = 541728000.

The previous prime is 1668325391. The next prime is 1668325409. The reversal of 1668325400 is 45238661.

It is an interprime number because it is at equal distance from previous prime (1668325391) and next prime (1668325409).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668325409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 503750 + ... + 507050.

It is an arithmetic number, because the mean of its divisors is an integer number (32499935).

Almost surely, 2^1668325400 is an apocalyptic number.

1668325400 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 1668325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339995320).

1668325400 is an abundant number, since it is smaller than the sum of its proper divisors (3011665240).

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

1668325400 is a wasteful number, since it uses less digits than its factorization.

1668325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 1668325400 is about 40845.1392456924. The cubic root of 1668325400 is about 1186.0243002490.

The spelling of 1668325400 in words is "one billion, six hundred sixty-eight million, three hundred twenty-five thousand, four hundred".