10005783840 has 576 divisors, whose sum is σ = 40656784896. Its totient is φ = 2215673856.

The previous prime is 10005783839. The next prime is 10005783847. The reversal of 10005783840 is 4838750001.

10005783840 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 578 + 3 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10005783795 and 10005783804.

It is not an unprimeable number, because it can be changed into a prime (10005783847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7318837 + ... + 7320203.

It is an arithmetic number, because the mean of its divisors is an integer number (70584696).

Almost surely, 2^10005783840 is an apocalyptic number.

10005783840 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 10005783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328392448).

10005783840 is an abundant number, since it is smaller than the sum of its proper divisors (30651001056).

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

10005783840 is a wasteful number, since it uses less digits than its factorization.

10005783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10005783840 in words is "ten billion, five million, seven hundred eighty-three thousand, eight hundred forty".