536336640 has 360 divisors, whose sum is σ = 2196237120. Its totient is φ = 122425344.

The previous prime is 536336639. The next prime is 536336651. The reversal of 536336640 is 46633635.

It is a happy number.

536336640 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 536336595 and 536336604.

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 39 ways as a sum of consecutive naturals, for example, 725391 + ... + 726129.

Almost surely, 2^536336640 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 536336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098118560).

536336640 is an abundant number, since it is smaller than the sum of its proper divisors (1659900480).

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

536336640 is an equidigital number, since it uses as much as digits as its factorization.

536336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 536336640 is about 23158.9429810603. The cubic root of 536336640 is about 812.4796441449.

The spelling of 536336640 in words is "five hundred thirty-six million, three hundred thirty-six thousand, six hundred forty".