655933538304 has 256 divisors, whose sum is σ = 2120188320000. Its totient is φ = 198764789760.

The previous prime is 655933538231. The next prime is 655933538327. The reversal of 655933538304 is 403835339556.

655933538304 is a `hidden beast` number, since 6 + 559 + 3 + 3 + 5 + 3 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9698397 + ... + 9765795.

It is an arithmetic number, because the mean of its divisors is an integer number (8281985625).

Almost surely, 2^655933538304 is an apocalyptic number.

655933538304 is a gapful number since it is divisible by the number (64) 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 655933538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060094160000).

655933538304 is an abundant number, since it is smaller than the sum of its proper divisors (1464254781696).

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

655933538304 is an equidigital number, since it uses as much as digits as its factorization.

655933538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67449 (or 67415 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 655933538304 in words is "six hundred fifty-five billion, nine hundred thirty-three million, five hundred thirty-eight thousand, three hundred four".