37661477416673 has 16 divisors (see below), whose sum is σ = 41211812400000. Its totient is φ = 34132361402880.

The previous prime is 37661477416669. The next prime is 37661477416699.

It is a happy number.

37661477416673 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 37661477416673 - 2² = 37661477416669 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37661477416603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909315 + ... + 9153527.

It is an arithmetic number, because the mean of its divisors is an integer number (2575738275000).

Almost surely, 2^{37661477416673} is an apocalyptic number.

It is an amenable number.

37661477416673 is a deficient number, since it is larger than the sum of its proper divisors (3550334983327).

37661477416673 is a wasteful number, since it uses less digits than its factorization.

37661477416673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245912.

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

The spelling of 37661477416673 in words is "thirty-seven trillion, six hundred sixty-one billion, four hundred seventy-seven million, four hundred sixteen thousand, six hundred seventy-three".