742564625267201 has 12 divisors (see below), whose sum is σ = 817330104304896. Its totient is φ = 674130196173720.

The previous prime is 742564625267189. The next prime is 742564625267239. The reversal of 742564625267201 is 102762526465247.

It is not a de Polignac number, because 742564625267201 - 2³⁰ = 742563551525377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (742564625267291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4220611985 + ... + 4220787918.

It is an arithmetic number, because the mean of its divisors is an integer number (68110842025408).

Almost surely, 2^{742564625267201} is an apocalyptic number.

It is an amenable number.

742564625267201 is a deficient number, since it is larger than the sum of its proper divisors (74765479037695).

742564625267201 is a wasteful number, since it uses less digits than its factorization.

742564625267201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441400652 (or 8441400641 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 59.

The spelling of 742564625267201 in words is "seven hundred forty-two trillion, five hundred sixty-four billion, six hundred twenty-five million, two hundred sixty-seven thousand, two hundred one".