10424356704 has 144 divisors (see below), whose sum is σ = 30723310800. Its totient is φ = 3348753408.

The previous prime is 10424356699. The next prime is 10424356717. The reversal of 10424356704 is 40765342401.

10424356704 is a `hidden beast` number, since 10 + 42 + 43 + 567 + 0 + 4 = 666.

10424356704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7173642 + ... + 7175094.

It is an arithmetic number, because the mean of its divisors is an integer number (213356325).

Almost surely, 2^10424356704 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 10424356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361655400).

10424356704 is an abundant number, since it is smaller than the sum of its proper divisors (20298954096).

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

10424356704 is a wasteful number, since it uses less digits than its factorization.

10424356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10424356704 in words is "ten billion, four hundred twenty-four million, three hundred fifty-six thousand, seven hundred four".