536641822080 has 1152 divisors, whose sum is σ = 2407879262880. Its totient is φ = 113204625408.

The previous prime is 536641822033. The next prime is 536641822159. The reversal of 536641822080 is 80228146635.

536641822080 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 418 + 220 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99063532 + ... + 99068948.

Almost surely, 2^536641822080 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 536641822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203939631440).

536641822080 is an abundant number, since it is smaller than the sum of its proper divisors (1871237440800).

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

536641822080 is a wasteful number, since it uses less digits than its factorization.

536641822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 536641822080 in words is "five hundred thirty-six billion, six hundred forty-one million, eight hundred twenty-two thousand, eighty".