4535264610 has 192 divisors, whose sum is σ = 12526690176. Its totient is φ = 1137024000.

The previous prime is 4535264609. The next prime is 4535264611. The reversal of 4535264610 is 164625354.

4535264610 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 2 + 646 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4535264609) and next prime (4535264611).

It is not an unprimeable number, because it can be changed into a prime (4535264611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16025529 + ... + 16025811.

It is an arithmetic number, because the mean of its divisors is an integer number (65243178).

Almost surely, 2^4535264610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4535264610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263345088).

4535264610 is an abundant number, since it is smaller than the sum of its proper divisors (7991425566).

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

4535264610 is a wasteful number, since it uses less digits than its factorization.

4535264610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4535264610 is about 67344.3732616170. The cubic root of 4535264610 is about 1655.2650439723.

Adding to 4535264610 its reverse (164625354), we get a palindrome (4699889964).

The spelling of 4535264610 in words is "four billion, five hundred thirty-five million, two hundred sixty-four thousand, six hundred ten".