536544864 has 96 divisors (see below), whose sum is σ = 1594585440. Its totient is φ = 175458816.

The previous prime is 536544859. The next prime is 536544887. The reversal of 536544864 is 468445635.

536544864 is a `hidden beast` number, since 536 + 54 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×536544864³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39934 + ... + 51650.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2^536544864 is an apocalyptic number.

536544864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797292720).

536544864 is an abundant number, since it is smaller than the sum of its proper divisors (1058040576).

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

536544864 is a wasteful number, since it uses less digits than its factorization.

536544864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11775 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 536544864 is about 23163.4380867781. The cubic root of 536544864 is about 812.5847745549.

The spelling of 536544864 in words is "five hundred thirty-six million, five hundred forty-four thousand, eight hundred sixty-four".