10006424740 has 96 divisors (see below), whose sum is σ = 24545947104. Its totient is φ = 3392471040.

The previous prime is 10006424731. The next prime is 10006424749. The reversal of 10006424740 is 4742460001.

10006424740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10006424731) and next prime (10006424749).

It can be written as a sum of positive squares in 16 ways, for example, as 4227080256 + 5779344484 = 65016^2 + 76022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10006424699 and 10006424708.

It is not an unprimeable number, because it can be changed into a prime (10006424749) 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, 153612 + ... + 208828.

It is an arithmetic number, because the mean of its divisors is an integer number (255686949).

Almost surely, 2^10006424740 is an apocalyptic number.

10006424740 is a gapful number since it is divisible by the number (10) 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 10006424740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272973552).

10006424740 is an abundant number, since it is smaller than the sum of its proper divisors (14539522364).

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

10006424740 is a wasteful number, since it uses less digits than its factorization.

10006424740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55297 (or 55295 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 10006424740 its reverse (4742460001), we get a palindrome (14748884741).

The spelling of 10006424740 in words is "ten billion, six million, four hundred twenty-four thousand, seven hundred forty".