742578303875247 has 96 divisors (see below), whose sum is σ = 1311723139584000. Its totient is φ = 395344436497920.

The previous prime is 742578303875167. The next prime is 742578303875263.

742578303875247 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 7 + 8 + 303 + 8 + 75 + 247 = 666.

742578303875247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742578303875247 - 2¹⁰ = 742578303874223 is a prime.

It is a super-2 number, since 2×742578303875247² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742578303875267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461321154 + ... + 462928032.

It is an arithmetic number, because the mean of its divisors is an integer number (13663782704000).

Almost surely, 2^{742578303875247} is an apocalyptic number.

742578303875247 is a deficient number, since it is larger than the sum of its proper divisors (569144835708753).

742578303875247 is a wasteful number, since it uses less digits than its factorization.

742578303875247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613301 (or 1613298 counting only the distinct ones).

The product of its (nonzero) digits is 2212761600, while the sum is 72.

The spelling of 742578303875247 in words is "seven hundred forty-two trillion, five hundred seventy-eight billion, three hundred three million, eight hundred seventy-five thousand, two hundred forty-seven".