536206806720 has 1120 divisors, whose sum is σ = 2199261113280. Its totient is φ = 122903101440.

The previous prime is 536206806719. The next prime is 536206806727. The reversal of 536206806720 is 27608602635.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (536206806727) 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 159 ways as a sum of consecutive naturals, for example, 390535954 + ... + 390537326.

It is an arithmetic number, because the mean of its divisors is an integer number (1963625994).

Almost surely, 2^536206806720 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 536206806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099630556640).

536206806720 is an abundant number, since it is smaller than the sum of its proper divisors (1663054306560).

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

536206806720 is a wasteful number, since it uses less digits than its factorization.

536206806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 536206806720 in words is "five hundred thirty-six billion, two hundred six million, eight hundred six thousand, seven hundred twenty".