675653141356576 has 144 divisors (see below), whose sum is σ = 1388108998614240. Its totient is φ = 323466564326400.

The previous prime is 675653141356541. The next prime is 675653141356577.

675653141356576 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (675653141356577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6455705335 + ... + 6455809993.

It is an arithmetic number, because the mean of its divisors is an integer number (9639645823710).

Almost surely, 2^{675653141356576} 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 675653141356576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694054499307120).

675653141356576 is an abundant number, since it is smaller than the sum of its proper divisors (712455857257664).

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

675653141356576 is a wasteful number, since it uses less digits than its factorization.

675653141356576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105319 (or 105040 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 70.

The spelling of 675653141356576 in words is "six hundred seventy-five trillion, six hundred fifty-three billion, one hundred forty-one million, three hundred fifty-six thousand, five hundred seventy-six".