536506237344 has 768 divisors, whose sum is σ = 1925189296128. Its totient is φ = 126566400000.

The previous prime is 536506237339. The next prime is 536506237387. The reversal of 536506237344 is 443732605635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 536506237293 and 536506237302.

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 127 ways as a sum of consecutive naturals, for example, 520374109 + ... + 520375139.

It is an arithmetic number, because the mean of its divisors is an integer number (2506756896).

Almost surely, 2^536506237344 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 536506237344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962594648064).

536506237344 is an abundant number, since it is smaller than the sum of its proper divisors (1388683058784).

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

536506237344 is a wasteful number, since it uses less digits than its factorization.

536506237344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 48.

The spelling of 536506237344 in words is "five hundred thirty-six billion, five hundred six million, two hundred thirty-seven thousand, three hundred forty-four".