37027188490009 has 27 divisors (see below), whose sum is σ = 41514718453887. Its totient is φ = 33013201963968.

The previous prime is 37027188490003. The next prime is 37027188490049. The reversal of 37027188490009 is 90009488172073.

The square root of 37027188490009 is 6084997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28827395883225 + 8199792606784 = 5369115^2 + 2863528^2 .

It is not a de Polignac number, because 37027188490009 - 2¹⁹ = 37027187965721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37027188490003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1965444612 + ... + 1965463450.

Almost surely, 2^{37027188490009} is an apocalyptic number.

37027188490009 is the 6084997-th square number.

37027188490009 is the 3042499-th centered octagonal number.

It is an amenable number.

37027188490009 is a deficient number, since it is larger than the sum of its proper divisors (4487529963878).

37027188490009 is an frugal number, since it uses more digits than its factorization.

37027188490009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37750 (or 18875 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 37027188490009 in words is "thirty-seven trillion, twenty-seven billion, one hundred eighty-eight million, four hundred ninety thousand, nine".