61636328424 has 144 divisors (see below), whose sum is σ = 185550920100. Its totient is φ = 18467581440.

The previous prime is 61636328389. The next prime is 61636328449. The reversal of 61636328424 is 42482363616.

61636328424 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 632 + 8 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61419708900 + 216619524 = 247830^2 + 14718^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61636328424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 735622 + ... + 815114.

Almost surely, 2^61636328424 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 61636328424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92775460050).

61636328424 is an abundant number, since it is smaller than the sum of its proper divisors (123914591676).

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

61636328424 is a wasteful number, since it uses less digits than its factorization.

61636328424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79616 (or 79598 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 61636328424 in words is "sixty-one billion, six hundred thirty-six million, three hundred twenty-eight thousand, four hundred twenty-four".