47772407761 has 81 divisors (see below), whose sum is σ = 58811900049. Its totient is φ = 38775889152.

The previous prime is 47772407707. The next prime is 47772407773. The reversal of 47772407761 is 16770427774.

The square root of 47772407761 is 218569.

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

It can be written as a sum of positive squares in 4 ways, for example, as 431351361 + 47341056400 = 20769^2 + 217580^2 .

It is not a de Polignac number, because 47772407761 - 2¹¹ = 47772405713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47772407699 and 47772407708.

It is not an unprimeable number, because it can be changed into a prime (47772407701) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1110986206 + ... + 1110986248.

Almost surely, 2^47772407761 is an apocalyptic number.

47772407761 is the 218569-th square number.

47772407761 is the 109285-th centered octagonal number.

It is an amenable number.

47772407761 is a deficient number, since it is larger than the sum of its proper divisors (11039492288).

47772407761 is a wasteful number, since it uses less digits than its factorization.

47772407761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 52.

The spelling of 47772407761 in words is "forty-seven billion, seven hundred seventy-two million, four hundred seven thousand, seven hundred sixty-one".