10742700609 has 9 divisors (see below), whose sum is σ = 15517683363. Its totient is φ = 7161593112.

The previous prime is 10742700607. The next prime is 10742700613. The reversal of 10742700609 is 90600724701.

It is a happy number.

The square root of 10742700609 is 103647.

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

10742700609 is a `hidden beast` number, since 1 + 0 + 7 + 42 + 7 + 0 + 0 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10343500209 + 399200400 = 101703^2 + 19980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10742700609 - 2¹ = 10742700607 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10742700607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293667 + ... + 328215.

Almost surely, 2^10742700609 is an apocalyptic number.

10742700609 is the 103647-th square number.

10742700609 is the 51824-th centered octagonal number.

It is an amenable number.

10742700609 is a deficient number, since it is larger than the sum of its proper divisors (4774982754).

10742700609 is an frugal number, since it uses more digits than its factorization.

10742700609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69104 (or 34552 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 10742700609 by its sum of digits (36), we get a square (386737221924 = 621882²).

The spelling of 10742700609 in words is "ten billion, seven hundred forty-two million, seven hundred thousand, six hundred nine".