656746647656 has 128 divisors (see below), whose sum is σ = 1417293884160. Its totient is φ = 282382848000.

The previous prime is 656746647653. The next prime is 656746647671.

656746647656 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (656746647653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265136690 + ... + 265139166.

It is an arithmetic number, because the mean of its divisors is an integer number (11072608470).

Almost surely, 2^656746647656 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 656746647656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708646942080).

656746647656 is an abundant number, since it is smaller than the sum of its proper divisors (760547236504).

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

656746647656 is a wasteful number, since it uses less digits than its factorization.

656746647656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 656746647656 in words is "six hundred fifty-six billion, seven hundred forty-six million, six hundred forty-seven thousand, six hundred fifty-six".