1668492000 has 384 divisors, whose sum is σ = 6944071680. Its totient is φ = 381196800.

The previous prime is 1668491971. The next prime is 1668492019. The reversal of 1668492000 is 2948661.

1668492000 is a `hidden beast` number, since 166 + 8 + 492 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754897 + ... + 757103.

It is an arithmetic number, because the mean of its divisors is an integer number (18083520).

Almost surely, 2^1668492000 is an apocalyptic number.

1668492000 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 1668492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472035840).

1668492000 is an abundant number, since it is smaller than the sum of its proper divisors (5275579680).

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

1668492000 is a wasteful number, since it uses less digits than its factorization.

1668492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1668492000 is about 40847.1786051375. The cubic root of 1668492000 is about 1186.0637779735.

The spelling of 1668492000 in words is "one billion, six hundred sixty-eight million, four hundred ninety-two thousand".