536413680 has 240 divisors, whose sum is σ = 1989917280. Its totient is φ = 128409600.

The previous prime is 536413673. The next prime is 536413721. The reversal of 536413680 is 86314635.

536413680 is a `hidden beast` number, since 5 + 3 + 641 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×536413680² = 575479272182284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 704500 + ... + 705260.

It is an arithmetic number, because the mean of its divisors is an integer number (8291322).

Almost surely, 2^536413680 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 536413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994958640).

536413680 is an abundant number, since it is smaller than the sum of its proper divisors (1453503600).

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

536413680 is a wasteful number, since it uses less digits than its factorization.

536413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 536413680 is about 23160.6062096829. The cubic root of 536413680 is about 812.5185441132.

It can be divided in two parts, 5364 and 13680, that added together give a square (19044 = 138²).

The spelling of 536413680 in words is "five hundred thirty-six million, four hundred thirteen thousand, six hundred eighty".