742997545799247 has 48 divisors (see below), whose sum is σ = 1178616391460352. Its totient is φ = 449103649305600.

The previous prime is 742997545799203. The next prime is 742997545799489.

742997545799247 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 9 + 7 + 5 + 4 + 579 + 9 + 24 + 7 = 666.

742997545799247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742997545799247 - 2²⁴ = 742997529022031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742997545799147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649173103 + ... + 650316624.

It is an arithmetic number, because the mean of its divisors is an integer number (24554508155424).

Almost surely, 2^{742997545799247} is an apocalyptic number.

742997545799247 is a deficient number, since it is larger than the sum of its proper divisors (435618845661105).

742997545799247 is a wasteful number, since it uses less digits than its factorization.

742997545799247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299489888 (or 1299489885 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 90.

The spelling of 742997545799247 in words is "seven hundred forty-two trillion, nine hundred ninety-seven billion, five hundred forty-five million, seven hundred ninety-nine thousand, two hundred forty-seven".