536063188320 has 768 divisors, whose sum is σ = 2102085457920. Its totient is φ = 126489600000.

The previous prime is 536063188313. The next prime is 536063188333. The reversal of 536063188320 is 23881360635.

536063188320 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 6 + 318 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292769805 + ... + 292771635.

It is an arithmetic number, because the mean of its divisors is an integer number (2737090440).

Almost surely, 2^536063188320 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 536063188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051042728960).

536063188320 is an abundant number, since it is smaller than the sum of its proper divisors (1566022269600).

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

536063188320 is a wasteful number, since it uses less digits than its factorization.

536063188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 536063188320 in words is "five hundred thirty-six billion, sixty-three million, one hundred eighty-eight thousand, three hundred twenty".