10340643584 has 72 divisors (see below), whose sum is σ = 21896170128. Its totient is φ = 4857036800.

The previous prime is 10340643563. The next prime is 10340643589. The reversal of 10340643584 is 48534604301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10340643589) 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, 2683259 + ... + 2687109.

It is an arithmetic number, because the mean of its divisors is an integer number (304113474).

Almost surely, 2^10340643584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948085064).

10340643584 is an abundant number, since it is smaller than the sum of its proper divisors (11555526544).

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

10340643584 is an equidigital number, since it uses as much as digits as its factorization.

10340643584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 10340643584 in words is "ten billion, three hundred forty million, six hundred forty-three thousand, five hundred eighty-four".