675666768 has 320 divisors, whose sum is σ = 2279854080. Its totient is φ = 167878656.

The previous prime is 675666767. The next prime is 675666779. The reversal of 675666768 is 867666576.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675666763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4860843 + ... + 4860981.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^675666768 is an apocalyptic number.

675666768 is a gapful number since it is divisible by the number (68) 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 675666768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

675666768 is an abundant number, since it is smaller than the sum of its proper divisors (1604187312).

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

675666768 is a wasteful number, since it uses less digits than its factorization.

675666768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 675666768 is about 25993.5909023744. The cubic root of 675666768 is about 877.4940621833.

The spelling of 675666768 in words is "six hundred seventy-five million, six hundred sixty-six thousand, seven hundred sixty-eight".