1668086784 has 660 divisors, whose sum is σ = 6527047824. Its totient is φ = 414056448.

The previous prime is 1668086759. The next prime is 1668086803. The reversal of 1668086784 is 4876808661.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1668086784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98122744 + ... + 98122760.

Almost surely, 2^1668086784 is an apocalyptic number.

1668086784 is a gapful number since it is divisible by the number (14) 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 1668086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263523912).

1668086784 is an abundant number, since it is smaller than the sum of its proper divisors (4858961040).

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

1668086784 is a wasteful number, since it uses less digits than its factorization.

1668086784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 1668086784 is about 40842.2181571961. The cubic root of 1668086784 is about 1185.9677529535.

The spelling of 1668086784 in words is "one billion, six hundred sixty-eight million, eighty-six thousand, seven hundred eighty-four".