37680608673 has 32 divisors (see below), whose sum is σ = 57519073920. Its totient is φ = 24361663680.

The previous prime is 37680608653. The next prime is 37680608677.

37680608673 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 37680608673 - 2¹⁰ = 37680607649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37680608677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245263 + ... + 368123.

It is an arithmetic number, because the mean of its divisors is an integer number (1797471060).

Almost surely, 2^37680608673 is an apocalyptic number.

It is an amenable number.

37680608673 is a deficient number, since it is larger than the sum of its proper divisors (19838465247).

37680608673 is a wasteful number, since it uses less digits than its factorization.

37680608673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123214 (or 123208 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 37680608673 in words is "thirty-seven billion, six hundred eighty million, six hundred eight thousand, six hundred seventy-three".