61743677634716 has 24 divisors (see below), whose sum is σ = 134713478476416. Its totient is φ = 24055978299120.

The previous prime is 61743677634713. The next prime is 61743677634739.

It is a happy number.

61743677634716 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61743677634713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100233242606 + ... + 100233243221.

It is an arithmetic number, because the mean of its divisors is an integer number (5613061603184).

Almost surely, 2^{61743677634716} is an apocalyptic number.

It is an amenable number.

61743677634716 is an abundant number, since it is smaller than the sum of its proper divisors (72969800841700).

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

61743677634716 is a wasteful number, since it uses less digits than its factorization.

61743677634716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200466485849 (or 200466485847 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 68.

The spelling of 61743677634716 in words is "sixty-one trillion, seven hundred forty-three billion, six hundred seventy-seven million, six hundred thirty-four thousand, seven hundred sixteen".