10066007682 has 48 divisors (see below), whose sum is σ = 23160814560. Its totient is φ = 3150596736.

The previous prime is 10066007593. The next prime is 10066007687. The reversal of 10066007682 is 28670066001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10066007687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91588 + ... + 168879.

It is an arithmetic number, because the mean of its divisors is an integer number (482516970).

Almost surely, 2^10066007682 is an apocalyptic number.

10066007682 is an abundant number, since it is smaller than the sum of its proper divisors (13094806878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10066007682 is a wasteful number, since it uses less digits than its factorization.

10066007682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260607 (or 260604 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10066007682 in words is "ten billion, sixty-six million, seven thousand, six hundred eighty-two".