536369760 has 144 divisors (see below), whose sum is σ = 1880017776. Its totient is φ = 139152384.

The previous prime is 536369759. The next prime is 536369777. The reversal of 536369760 is 67963635.

536369760 is a `hidden beast` number, since 5 + 3 + 636 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48247 + ... + 58313.

It is an arithmetic number, because the mean of its divisors is an integer number (13055679).

Almost surely, 2^536369760 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 536369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940008888).

536369760 is an abundant number, since it is smaller than the sum of its proper divisors (1343648016).

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

536369760 is a wasteful number, since it uses less digits than its factorization.

536369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 536369760 is about 23159.6580285634. The cubic root of 536369760 is about 812.4963679522.

The spelling of 536369760 in words is "five hundred thirty-six million, three hundred sixty-nine thousand, seven hundred sixty".