536961097728 has 448 divisors, whose sum is σ = 1757096409600. Its totient is φ = 160694599680.

The previous prime is 536961097711. The next prime is 536961097747. The reversal of 536961097728 is 827790169635.

536961097728 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 610 + 9 + 7 + 7 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201939663 + ... + 201942321.

It is an arithmetic number, because the mean of its divisors is an integer number (3922090200).

Almost surely, 2^536961097728 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 536961097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878548204800).

536961097728 is an abundant number, since it is smaller than the sum of its proper divisors (1220135311872).

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

536961097728 is a wasteful number, since it uses less digits than its factorization.

536961097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 536961097728 in words is "five hundred thirty-six billion, nine hundred sixty-one million, ninety-seven thousand, seven hundred twenty-eight".