53668645632 has 432 divisors, whose sum is σ = 188408659712. Its totient is φ = 14914990080.

The previous prime is 53668645609. The next prime is 53668645633. The reversal of 53668645632 is 23654686635.

53668645632 is a `hidden beast` number, since 53 + 66 + 86 + 456 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (53668645633) 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, 16110207 + ... + 16113537.

Almost surely, 2^53668645632 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 53668645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94204329856).

53668645632 is an abundant number, since it is smaller than the sum of its proper divisors (134740014080).

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

53668645632 is an equidigital number, since it uses as much as digits as its factorization.

53668645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3380 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 53668645632 in words is "fifty-three billion, six hundred sixty-eight million, six hundred forty-five thousand, six hundred thirty-two".