10005363784 has 48 divisors (see below), whose sum is σ = 20474449920. Its totient is φ = 4581420480.

The previous prime is 10005363779. The next prime is 10005363799. The reversal of 10005363784 is 48736350001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142569 + ... + 200839.

It is an arithmetic number, because the mean of its divisors is an integer number (426551040).

Almost surely, 2^10005363784 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 10005363784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237224960).

10005363784 is an abundant number, since it is smaller than the sum of its proper divisors (10469086136).

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

10005363784 is a wasteful number, since it uses less digits than its factorization.

10005363784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58430 (or 58413 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10005363784 in words is "ten billion, five million, three hundred sixty-three thousand, seven hundred eighty-four".