37680408673 has 8 divisors (see below), whose sum is σ = 38986274880. Its totient is φ = 36374978640.

The previous prime is 37680408631. The next prime is 37680408677.

37680408673 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37680408673 - 2²⁵ = 37646854241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37680408673.

It is not an unprimeable number, because it can be changed into a prime (37680408677) 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 7 ways as a sum of consecutive naturals, for example, 71836 + ... + 283762.

It is an arithmetic number, because the mean of its divisors is an integer number (4873284360).

Almost surely, 2^37680408673 is an apocalyptic number.

It is an amenable number.

37680408673 is a deficient number, since it is larger than the sum of its proper divisors (1305866207).

37680408673 is a wasteful number, since it uses less digits than its factorization.

37680408673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218087.

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 37680408673 in words is "thirty-seven billion, six hundred eighty million, four hundred eight thousand, six hundred seventy-three".