675607706576 has 160 divisors (see below), whose sum is σ = 1499239756800. Its totient is φ = 291942604800.

The previous prime is 675607706563. The next prime is 675607706623.

675607706576 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601609151 + ... + 601610273.

It is an arithmetic number, because the mean of its divisors is an integer number (9370248480).

Almost surely, 2^675607706576 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 675607706576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749619878400).

675607706576 is an abundant number, since it is smaller than the sum of its proper divisors (823632050224).

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

675607706576 is a wasteful number, since it uses less digits than its factorization.

675607706576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 62.

The spelling of 675607706576 in words is "six hundred seventy-five billion, six hundred seven million, seven hundred six thousand, five hundred seventy-six".