533296471680 has 768 divisors, whose sum is σ = 2158247669760. Its totient is φ = 118812303360.

The previous prime is 533296471639. The next prime is 533296471693. The reversal of 533296471680 is 86174692335.

533296471680 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 96 + 471 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 657578475 + ... + 657579285.

It is an arithmetic number, because the mean of its divisors is an integer number (2810218320).

It is a 1-persistent number, because it is pandigital, but 2⋅533296471680 = 1066592943360 is not.

Almost surely, 2^533296471680 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 533296471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079123834880).

533296471680 is an abundant number, since it is smaller than the sum of its proper divisors (1624951198080).

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

533296471680 is a wasteful number, since it uses less digits than its factorization.

533296471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 533296471680 in words is "five hundred thirty-three billion, two hundred ninety-six million, four hundred seventy-one thousand, six hundred eighty".