10624004424 has 96 divisors (see below), whose sum is σ = 31432134240. Its totient is φ = 3214982400.

The previous prime is 10624004401. The next prime is 10624004459. The reversal of 10624004424 is 42440042601.

It is a happy number.

10624004424 is a `hidden beast` number, since 10 + 624 + 0 + 0 + 4 + 4 + 24 = 666.

10624004424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10624004424² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 593899 + ... + 611525.

It is an arithmetic number, because the mean of its divisors is an integer number (327418065).

Almost surely, 2^10624004424 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 10624004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716067120).

10624004424 is an abundant number, since it is smaller than the sum of its proper divisors (20808129816).

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

10624004424 is a wasteful number, since it uses less digits than its factorization.

10624004424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18411 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 10624004424 in words is "ten billion, six hundred twenty-four million, four thousand, four hundred twenty-four".