10267803642 has 64 divisors (see below), whose sum is σ = 22104576000. Its totient is φ = 3170052288.

The previous prime is 10267803631. The next prime is 10267803643. The reversal of 10267803642 is 24630876201.

It is a happy number.

10267803642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10267803642.

It is not an unprimeable number, because it can be changed into a prime (10267803643) 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 31 ways as a sum of consecutive naturals, for example, 922084 + ... + 933152.

It is an arithmetic number, because the mean of its divisors is an integer number (345384000).

Almost surely, 2^10267803642 is an apocalyptic number.

10267803642 is an abundant number, since it is smaller than the sum of its proper divisors (11836772358).

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

10267803642 is a wasteful number, since it uses less digits than its factorization.

10267803642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10267803642 in words is "ten billion, two hundred sixty-seven million, eight hundred three thousand, six hundred forty-two".