10068642304 has 120 divisors (see below), whose sum is σ = 23902845120. Its totient is φ = 4222826496.

The previous prime is 10068642301. The next prime is 10068642307. The reversal of 10068642304 is 40324686001.

It is an interprime number because it is at equal distance from previous prime (10068642301) and next prime (10068642307).

It is a self number, because there is not a number n which added to its sum of digits gives 10068642304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068642301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174867 + ... + 1183405.

It is an arithmetic number, because the mean of its divisors is an integer number (199190376).

Almost surely, 2^10068642304 is an apocalyptic number.

10068642304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951422560).

10068642304 is an abundant number, since it is smaller than the sum of its proper divisors (13834202816).

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

10068642304 is an frugal number, since it uses more digits than its factorization.

10068642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 10068642304 in words is "ten billion, sixty-eight million, six hundred forty-two thousand, three hundred four".