10742727467 has 8 divisors (see below), whose sum is σ = 10871269200. Its totient is φ = 10614360064.

The previous prime is 10742727439. The next prime is 10742727473. The reversal of 10742727467 is 76472724701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10742727467 - 2²⁸ = 10474292011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10742787467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82568 + ... + 168234.

It is an arithmetic number, because the mean of its divisors is an integer number (1358908650).

Almost surely, 2^10742727467 is an apocalyptic number.

10742727467 is a deficient number, since it is larger than the sum of its proper divisors (128541733).

10742727467 is an equidigital number, since it uses as much as digits as its factorization.

10742727467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87165.

The product of its (nonzero) digits is 921984, while the sum is 47.

The spelling of 10742727467 in words is "ten billion, seven hundred forty-two million, seven hundred twenty-seven thousand, four hundred sixty-seven".