676575575676 has 576 divisors, whose sum is σ = 2332626895872. Its totient is φ = 159667200000.

The previous prime is 676575575629. The next prime is 676575575677.

It is a happy number.

676575575676 is a `hidden beast` number, since 6 + 7 + 6 + 5 + 7 + 5 + 57 + 567 + 6 = 666.

676575575676 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676575575677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 767962756 + ... + 767963636.

It is an arithmetic number, because the mean of its divisors is an integer number (4049699472).

Almost surely, 2^676575575676 is an apocalyptic number.

676575575676 is a gapful number since it is divisible by the number (66) 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 676575575676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166313447936).

676575575676 is an abundant number, since it is smaller than the sum of its proper divisors (1656051320196).

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

676575575676 is a wasteful number, since it uses less digits than its factorization.

676575575676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its digits is 1944810000, while the sum is 72.

The spelling of 676575575676 in words is "six hundred seventy-six billion, five hundred seventy-five million, five hundred seventy-five thousand, six hundred seventy-six".