10017027640 has 64 divisors (see below), whose sum is σ = 24151750560. Its totient is φ = 3725660160.

The previous prime is 10017027593. The next prime is 10017027641. The reversal of 10017027640 is 4672071001.

10017027640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10017027599 and 10017027608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017027641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32301 + ... + 145180.

Almost surely, 2^10017027640 is an apocalyptic number.

10017027640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10017027640 is an abundant number, since it is smaller than the sum of its proper divisors (14134722920).

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

10017027640 is a wasteful number, since it uses less digits than its factorization.

10017027640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177592 (or 177588 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 10017027640 its reverse (4672071001), we get a palindrome (14689098641).

The spelling of 10017027640 in words is "ten billion, seventeen million, twenty-seven thousand, six hundred forty".