10013427648 has 336 divisors, whose sum is σ = 33712733184. Its totient is φ = 2782771200.

The previous prime is 10013427643. The next prime is 10013427659. The reversal of 10013427648 is 84672431001.

10013427648 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 4 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013427643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27284361 + ... + 27284727.

Almost surely, 2^10013427648 is an apocalyptic number.

10013427648 is a gapful number since it is divisible by the number (18) 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 10013427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856366592).

10013427648 is an abundant number, since it is smaller than the sum of its proper divisors (23699305536).

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

10013427648 is a wasteful number, since it uses less digits than its factorization.

10013427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 10013427648 its reverse (84672431001), we get a palindrome (94685858649).

The spelling of 10013427648 in words is "ten billion, thirteen million, four hundred twenty-seven thousand, six hundred forty-eight".