1679966568 has 240 divisors, whose sum is σ = 5524910820. Its totient is φ = 475517952.

The previous prime is 1679966501. The next prime is 1679966569. The reversal of 1679966568 is 8656699761.

1679966568 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 9 + 66 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1595363364 + 84603204 = 39942^2 + 9198^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1679966569) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4984896 + ... + 4985232.

Almost surely, 2^1679966568 is an apocalyptic number.

1679966568 is a gapful number since it is divisible by the number (18) 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 1679966568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762455410).

1679966568 is an abundant number, since it is smaller than the sum of its proper divisors (3844944252).

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

1679966568 is a wasteful number, since it uses less digits than its factorization.

1679966568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 506 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 1679966568 is about 40987.3952331689. The cubic root of 1679966568 is about 1188.7765048972.

The spelling of 1679966568 in words is "one billion, six hundred seventy-nine million, nine hundred sixty-six thousand, five hundred sixty-eight".