10240642680 has 64 divisors (see below), whose sum is σ = 30728972160. Its totient is φ = 2730211968.

The previous prime is 10240642679. The next prime is 10240642717. The reversal of 10240642680 is 8624604201.

10240642680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 781059 + ... + 794061.

It is an arithmetic number, because the mean of its divisors is an integer number (480140190).

Almost surely, 2^10240642680 is an apocalyptic number.

10240642680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240642680 is an abundant number, since it is smaller than the sum of its proper divisors (20488329480).

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

10240642680 is a wasteful number, since it uses less digits than its factorization.

10240642680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19580 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 10240642680 in words is "ten billion, two hundred forty million, six hundred forty-two thousand, six hundred eighty".