37792539681768 has 48 divisors (see below), whose sum is σ = 102658518464580. Its totient is φ = 12560131874304.

The previous prime is 37792539681727. The next prime is 37792539681779. The reversal of 37792539681768 is 86718693529773.

37792539681768 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 2 + 539 + 6 + 8 + 1 + 76 + 8 = 666.

37792539681768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37731559330404 + 60980351364 = 6142602^2 + 246942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778753755 + ... + 778802282.

Almost surely, 2^{37792539681768} is an apocalyptic number.

It is an amenable number.

37792539681768 is an abundant number, since it is smaller than the sum of its proper divisors (64865978782812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37792539681768 is a wasteful number, since it uses less digits than its factorization.

37792539681768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557556386 (or 1557556379 counting only the distinct ones).

The product of its digits is 5761082880, while the sum is 81.

The spelling of 37792539681768 in words is "thirty-seven trillion, seven hundred ninety-two billion, five hundred thirty-nine million, six hundred eighty-one thousand, seven hundred sixty-eight".