532723920841728 has 3168 divisors, whose sum is σ = 2118039947412480. Its totient is φ = 127047806484480.

The previous prime is 532723920841709. The next prime is 532723920841751. The reversal of 532723920841728 is 827148029327235.

It is a happy number.

532723920841728 is a `hidden beast` number, since 5 + 3 + 2 + 7 + 2 + 3 + 9 + 208 + 417 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 634951037533 + ... + 634951038371.

Almost surely, 2^{532723920841728} 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 532723920841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059019973706240).

532723920841728 is an abundant number, since it is smaller than the sum of its proper divisors (1585316026570752).

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

532723920841728 is a wasteful number, since it uses less digits than its factorization.

532723920841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 532723920841728 in words is "five hundred thirty-two trillion, seven hundred twenty-three billion, nine hundred twenty million, eight hundred forty-one thousand, seven hundred twenty-eight".