536405760 has 576 divisors, whose sum is σ = 2225180160. Its totient is φ = 120913920.

The previous prime is 536405719. The next prime is 536405773. The reversal of 536405760 is 67504635.

536405760 is a `hidden beast` number, since 5 + 3 + 640 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×536405760² = 575462278722355200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462679 + ... + 6462761.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^536405760 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 536405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112590080).

536405760 is an abundant number, since it is smaller than the sum of its proper divisors (1688774400).

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

536405760 is a wasteful number, since it uses less digits than its factorization.

536405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 536405760 is about 23160.4352290711. The cubic root of 536405760 is about 812.5145452228.

The spelling of 536405760 in words is "five hundred thirty-six million, four hundred five thousand, seven hundred sixty".