1668099840 has 576 divisors, whose sum is σ = 6484810752. Its totient is φ = 360448000.

The previous prime is 1668099827. The next prime is 1668099841. The reversal of 1668099840 is 489908661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668099841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16515790 + ... + 16515890.

It is an arithmetic number, because the mean of its divisors is an integer number (11258352).

Almost surely, 2^1668099840 is an apocalyptic number.

1668099840 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 1668099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242405376).

1668099840 is an abundant number, since it is smaller than the sum of its proper divisors (4816710912).

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

1668099840 is a wasteful number, since it uses less digits than its factorization.

1668099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1668099840 is about 40842.3779914931. The cubic root of 1668099840 is about 1185.9708471080.

The spelling of 1668099840 in words is "one billion, six hundred sixty-eight million, ninety-nine thousand, eight hundred forty".