61635744753616 has 40 divisors (see below), whose sum is σ = 131105332052064. Its totient is φ = 27837800165760.

The previous prime is 61635744753613. The next prime is 61635744753683.

61635744753616 is nontrivially palindromic in base 10.

61635744753616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61635744753613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1115268850 + ... + 1115324113.

Almost surely, 2^{61635744753616} is an apocalyptic number.

It is an amenable number.

61635744753616 is an abundant number, since it is smaller than the sum of its proper divisors (69469587298448).

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

61635744753616 is a wasteful number, since it uses less digits than its factorization.

61635744753616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230593139 (or 2230593133 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 64.

The spelling of 61635744753616 in words is "sixty-one trillion, six hundred thirty-five billion, seven hundred forty-four million, seven hundred fifty-three thousand, six hundred sixteen".