742847828748247 has 8 divisors (see below), whose sum is σ = 760966429930560. Its totient is φ = 724729244778240.

The previous prime is 742847828748167. The next prime is 742847828748253.

742847828748247 is nontrivially palindromic in base 10.

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 742847828748247 - 2¹⁹ = 742847828223959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742847828748257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148090879 + ... + 153024847.

It is an arithmetic number, because the mean of its divisors is an integer number (95120803741320).

Almost surely, 2^{742847828748247} is an apocalyptic number.

742847828748247 is a deficient number, since it is larger than the sum of its proper divisors (18118601182313).

742847828748247 is a wasteful number, since it uses less digits than its factorization.

742847828748247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606153.

The product of its digits is 20141047808, while the sum is 82.

The spelling of 742847828748247 in words is "seven hundred forty-two trillion, eight hundred forty-seven billion, eight hundred twenty-eight million, seven hundred forty-eight thousand, two hundred forty-seven".