536363605440 has 896 divisors, whose sum is σ = 2167966321920. Its totient is φ = 123664859136.

The previous prime is 536363605369. The next prime is 536363605441. The reversal of 536363605440 is 44506363635.

536363605440 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 636 + 0 + 5 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536363605441) 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 127 ways as a sum of consecutive naturals, for example, 490725534 + ... + 490726626.

It is an arithmetic number, because the mean of its divisors is an integer number (2419605270).

Almost surely, 2^536363605440 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 536363605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083983160960).

536363605440 is an abundant number, since it is smaller than the sum of its proper divisors (1631602716480).

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

536363605440 is a wasteful number, since it uses less digits than its factorization.

536363605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 536363605440 in words is "five hundred thirty-six billion, three hundred sixty-three million, six hundred five thousand, four hundred forty".