536004618240 has 1440 divisors, whose sum is σ = 2216572918560. Its totient is φ = 110461059072.

The previous prime is 536004618221. The next prime is 536004618257. The reversal of 536004618240 is 42816400635.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12465223659 + ... + 12465223701.

It is an arithmetic number, because the mean of its divisors is an integer number (1539286749).

Almost surely, 2^536004618240 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 536004618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108286459280).

536004618240 is an abundant number, since it is smaller than the sum of its proper divisors (1680568300320).

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

536004618240 is an equidigital number, since it uses as much as digits as its factorization.

536004618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 536004618240 in words is "five hundred thirty-six billion, four million, six hundred eighteen thousand, two hundred forty".