10762610049 has 15 divisors (see below), whose sum is σ = 16078874097. Its totient is φ = 7174450908.

The previous prime is 10762609961. The next prime is 10762610069. The reversal of 10762610049 is 94001626701.

The square root of 10762610049 is 103743.

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

10762610049 is a `hidden beast` number, since 10 + 7 + 626 + 10 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 10762610049 - 2¹¹ = 10762608001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10762609995 and 10762610022.

It is not an unprimeable number, because it can be changed into a prime (10762610069) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 927924 + ... + 939450.

Almost surely, 2^10762610049 is an apocalyptic number.

10762610049 is the 103743-rd square number.

10762610049 is the 51872-nd centered octagonal number.

It is an amenable number.

10762610049 is a deficient number, since it is larger than the sum of its proper divisors (5316264048).

10762610049 is an frugal number, since it uses more digits than its factorization.

10762610049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23066 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 10762610049 by its sum of digits (36), we get a square (387453961764 = 622458²).

The spelling of 10762610049 in words is "ten billion, seven hundred sixty-two million, six hundred ten thousand, forty-nine".