10066729641 has 8 divisors (see below), whose sum is σ = 13423206144. Its totient is φ = 6710703120.

The previous prime is 10066729597. The next prime is 10066729643. The reversal of 10066729641 is 14692766001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10066729641 - 2⁷ = 10066729513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10066729593 and 10066729602.

It is not an unprimeable number, because it can be changed into a prime (10066729643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56281 + ... + 152646.

It is an arithmetic number, because the mean of its divisors is an integer number (1677900768).

Almost surely, 2^10066729641 is an apocalyptic number.

It is an amenable number.

10066729641 is a deficient number, since it is larger than the sum of its proper divisors (3356476503).

10066729641 is a wasteful number, since it uses less digits than its factorization.

10066729641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224991.

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10066729641 in words is "ten billion, sixty-six million, seven hundred twenty-nine thousand, six hundred forty-one".