536620591584 has 1728 divisors, whose sum is σ = 2171994918912. Its totient is φ = 121828147200.

The previous prime is 536620591583. The next prime is 536620591631. The reversal of 536620591584 is 485195026635.

536620591584 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 2 + 0 + 59 + 1 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 536620591584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536620591583) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 7350966972 + ... + 7350967044.

It is an arithmetic number, because the mean of its divisors is an integer number (1256941504).

Almost surely, 2^536620591584 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 536620591584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085997459456).

536620591584 is an abundant number, since it is smaller than the sum of its proper divisors (1635374327328).

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

536620591584 is a wasteful number, since it uses less digits than its factorization.

536620591584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 536620591584 in words is "five hundred thirty-six billion, six hundred twenty million, five hundred ninety-one thousand, five hundred eighty-four".