63536705505 has 256 divisors, whose sum is σ = 149100134400. Its totient is φ = 24908083200.

The previous prime is 63536705461. The next prime is 63536705521. The reversal of 63536705505 is 50550763536.

It is a happy number.

63536705505 is a `hidden beast` number, since 6 + 35 + 3 + 67 + 0 + 550 + 5 = 666.

It is not a de Polignac number, because 63536705505 - 2¹⁰ = 63536704481 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16496830 + ... + 16500680.

It is an arithmetic number, because the mean of its divisors is an integer number (582422400).

Almost surely, 2^63536705505 is an apocalyptic number.

63536705505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63536705505 is an abundant number, since it is smaller than the sum of its proper divisors (85563428895).

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

63536705505 is a wasteful number, since it uses less digits than its factorization.

63536705505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The spelling of 63536705505 in words is "sixty-three billion, five hundred thirty-six million, seven hundred five thousand, five hundred five".