655656768 has 392 divisors, whose sum is σ = 2238743808. Its totient is φ = 188863488.

The previous prime is 655656763. The next prime is 655656797. The reversal of 655656768 is 867656556.

655656768 is a `hidden beast` number, since 6 + 5 + 565 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655656763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13950121 + ... + 13950167.

Almost surely, 2^655656768 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 655656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119371904).

655656768 is an abundant number, since it is smaller than the sum of its proper divisors (1583087040).

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

655656768 is a wasteful number, since it uses less digits than its factorization.

655656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 655656768 is about 25605.7955939666. The cubic root of 655656768 is about 868.7447295507.

The spelling of 655656768 in words is "six hundred fifty-five million, six hundred fifty-six thousand, seven hundred sixty-eight".