655604733168 has 1920 divisors, whose sum is σ = 2784678912000. Its totient is φ = 144850083840.

The previous prime is 655604733163. The next prime is 655604733209. The reversal of 655604733168 is 861337406556.

655604733168 is a `hidden beast` number, since 6 + 5 + 5 + 6 + 0 + 473 + 3 + 168 = 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 (655604733163) 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 383 ways as a sum of consecutive naturals, for example, 1729827603 + ... + 1729827981.

It is an arithmetic number, because the mean of its divisors is an integer number (1450353600).

Almost surely, 2^655604733168 is an apocalyptic number.

655604733168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655604733168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392339456000).

655604733168 is an abundant number, since it is smaller than the sum of its proper divisors (2129074178832).

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

655604733168 is a wasteful number, since it uses less digits than its factorization.

655604733168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 655604733168 in words is "six hundred fifty-five billion, six hundred four million, seven hundred thirty-three thousand, one hundred sixty-eight".