37668286673 has 8 divisors (see below), whose sum is σ = 41259381480. Its totient is φ = 34230004480.

The previous prime is 37668286631. The next prime is 37668286699.

It is a happy number.

37668286673 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1565626624 + 36102660049 = 39568^2 + 190007^2 .

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 37668286673 - 2³² = 33373319377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37668286603) 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, 38202638 + ... + 38203623.

It is an arithmetic number, because the mean of its divisors is an integer number (5157422685).

Almost surely, 2^37668286673 is an apocalyptic number.

It is an amenable number.

37668286673 is a deficient number, since it is larger than the sum of its proper divisors (3591094807).

37668286673 is a wasteful number, since it uses less digits than its factorization.

37668286673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76406307.

The product of its digits is 73156608, while the sum is 62.

The spelling of 37668286673 in words is "thirty-seven billion, six hundred sixty-eight million, two hundred eighty-six thousand, six hundred seventy-three".