37764537561 has 27 divisors (see below), whose sum is σ = 54987637653. Its totient is φ = 24975420120.

The previous prime is 37764537533. The next prime is 37764537563. The reversal of 37764537561 is 16573546773.

The square root of 37764537561 is 194331.

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

37764537561 is a `hidden beast` number, since 3 + 7 + 7 + 6 + 45 + 37 + 561 = 666.

37764537561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37764537561 - 2²⁹ = 37227666649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37764537498 and 37764537507.

It is not an unprimeable number, because it can be changed into a prime (37764537563) 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, 123011370 + ... + 123011676.

Almost surely, 2^37764537561 is an apocalyptic number.

37764537561 is the 194331-st square number.

37764537561 is the 97166-th centered octagonal number.

It is an amenable number.

37764537561 is a deficient number, since it is larger than the sum of its proper divisors (17223100092).

37764537561 is an frugal number, since it uses more digits than its factorization.

37764537561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 37764537561 in words is "thirty-seven billion, seven hundred sixty-four million, five hundred thirty-seven thousand, five hundred sixty-one".