675945585549576 has 384 divisors, whose sum is σ = 2004581117916000. Its totient is φ = 204898328248320.

The previous prime is 675945585549551. The next prime is 675945585549623.

675945585549576 is a `hidden beast` number, since 6 + 7 + 5 + 9 + 4 + 5 + 5 + 8 + 5 + 549 + 57 + 6 = 666.

675945585549576 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 206767892089476 + 469177693460100 = 14379426^2 + 21660510^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39684461956 + ... + 39684478988.

Almost surely, 2^{675945585549576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675945585549576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002290558958000).

675945585549576 is an abundant number, since it is smaller than the sum of its proper divisors (1328635532366424).

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

675945585549576 is a wasteful number, since it uses less digits than its factorization.

675945585549576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129 (or 23122 counting only the distinct ones).

The product of its digits is 285768000000, while the sum is 90.

The spelling of 675945585549576 in words is "six hundred seventy-five trillion, nine hundred forty-five billion, five hundred eighty-five million, five hundred forty-nine thousand, five hundred seventy-six".