6635386656 has 216 divisors, whose sum is σ = 19973198700. Its totient is φ = 2089156608.

The previous prime is 6635386651. The next prime is 6635386657. The reversal of 6635386656 is 6566835366.

It can be written as a sum of positive squares in 2 ways, for example, as 6629216400 + 6170256 = 81420^2 + 2484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6635386651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14777920 + ... + 14778368.

Almost surely, 2^6635386656 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 6635386656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986599350).

6635386656 is an abundant number, since it is smaller than the sum of its proper divisors (13337812044).

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

6635386656 is a wasteful number, since it uses less digits than its factorization.

6635386656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 574 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The square root of 6635386656 is about 81457.8827124791. The cubic root of 6635386656 is about 1879.1238802898.

The spelling of 6635386656 in words is "six billion, six hundred thirty-five million, three hundred eighty-six thousand, six hundred fifty-six".