37686068641 has 27 divisors (see below), whose sum is σ = 41488632171. Its totient is φ = 34216401024.

The previous prime is 37686068627. The next prime is 37686068653. The reversal of 37686068641 is 14686068673.

The square root of 37686068641 is 194129.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22596403041 + 15089665600 = 150321^2 + 122840^2 .

It is not a de Polignac number, because 37686068641 - 2³¹ = 35538584993 is a prime.

It is a super-3 number, since 3×37686068641³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37686068611) 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, 275080725 + ... + 275080861.

Almost surely, 2^37686068641 is an apocalyptic number.

37686068641 is the 194129-th square number.

37686068641 is the 97065-th centered octagonal number.

It is an amenable number.

37686068641 is a deficient number, since it is larger than the sum of its proper divisors (3802563530).

37686068641 is an equidigital number, since it uses as much as digits as its factorization.

37686068641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 37686068641 in words is "thirty-seven billion, six hundred eighty-six million, sixty-eight thousand, six hundred forty-one".