742002080013 has 8 divisors (see below), whose sum is σ = 1099262340800. Its totient is φ = 494668053324.

The previous prime is 742002080011. The next prime is 742002080033. The reversal of 742002080013 is 310080200247.

It is not a de Polignac number, because 742002080013 - 2¹ = 742002080011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 27481558519 = 742002080013 / (7 + 4 + 2 + 0 + 0 + 2 + 0 + 8 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742002080011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13740779233 + ... + 13740779286.

It is an arithmetic number, because the mean of its divisors is an integer number (137407792600).

Almost surely, 2^742002080013 is an apocalyptic number.

It is an amenable number.

742002080013 is a deficient number, since it is larger than the sum of its proper divisors (357260260787).

742002080013 is a wasteful number, since it uses less digits than its factorization.

742002080013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27481558528 (or 27481558522 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 742002080013 in words is "seven hundred forty-two billion, two million, eighty thousand, thirteen".