536120064 has 216 divisors, whose sum is σ = 1647889152. Its totient is φ = 167270400.

The previous prime is 536120051. The next prime is 536120083. The reversal of 536120064 is 460021635.

536120064 is a `hidden beast` number, since 536 + 120 + 0 + 6 + 4 = 666.

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, 3550389 + ... + 3550539.

Almost surely, 2^536120064 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 536120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823944576).

536120064 is an abundant number, since it is smaller than the sum of its proper divisors (1111769088).

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

536120064 is a wasteful number, since it uses less digits than its factorization.

536120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 536120064 is about 23154.2666478556. The cubic root of 536120064 is about 812.3702680126.

Adding to 536120064 its reverse (460021635), we get a palindrome (996141699).

It can be divided in two parts, 5361 and 20064, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 536120064 in words is "five hundred thirty-six million, one hundred twenty thousand, sixty-four".