742716617247 has 32 divisors (see below), whose sum is σ = 1202252689920. Its totient is φ = 449417808000.

The previous prime is 742716617231. The next prime is 742716617281.

It is a happy number.

742716617247 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 16 + 617 + 2 + 4 + 7 = 666.

742716617247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742716617247 - 2⁴ = 742716617231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742716617193 and 742716617202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742716616247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794154 + ... + 2168967.

It is an arithmetic number, because the mean of its divisors is an integer number (37570396560).

Almost surely, 2^742716617247 is an apocalyptic number.

742716617247 is a deficient number, since it is larger than the sum of its proper divisors (459536072673).

742716617247 is a wasteful number, since it uses less digits than its factorization.

742716617247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963772 (or 3963766 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 742716617247 in words is "seven hundred forty-two billion, seven hundred sixteen million, six hundred seventeen thousand, two hundred forty-seven".