1668676680 has 512 divisors, whose sum is σ = 6569164800. Its totient is φ = 372556800.

The previous prime is 1668676661. The next prime is 1668676693. The reversal of 1668676680 is 866768661.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8470342 + ... + 8470538.

It is an arithmetic number, because the mean of its divisors is an integer number (12830400).

Almost surely, 2^1668676680 is an apocalyptic number.

1668676680 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 1668676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284582400).

1668676680 is an abundant number, since it is smaller than the sum of its proper divisors (4900488120).

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

1668676680 is a wasteful number, since it uses less digits than its factorization.

1668676680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 1668676680 is about 40849.4391638368. The cubic root of 1668676680 is about 1186.1075368842.

The spelling of 1668676680 in words is "one billion, six hundred sixty-eight million, six hundred seventy-six thousand, six hundred eighty".