659437734956 has 144 divisors (see below), whose sum is σ = 1568027737920. Its totient is φ = 236121177600.

The previous prime is 659437734953. The next prime is 659437735001.

659437734956 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (659437734953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10053386 + ... + 10118766.

Almost surely, 2^659437734956 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 659437734956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784013868960).

659437734956 is an abundant number, since it is smaller than the sum of its proper divisors (908590002964).

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

659437734956 is a wasteful number, since it uses less digits than its factorization.

659437734956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65656 (or 65643 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 68.

The spelling of 659437734956 in words is "six hundred fifty-nine billion, four hundred thirty-seven million, seven hundred thirty-four thousand, nine hundred fifty-six".