10007414784 has 192 divisors, whose sum is σ = 30073680000. Its totient is φ = 3287531520.

The previous prime is 10007414783. The next prime is 10007414797. The reversal of 10007414784 is 48741470001.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (10007414783) 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 15 ways as a sum of consecutive naturals, for example, 3924742 + ... + 3927290.

It is an arithmetic number, because the mean of its divisors is an integer number (156633750).

Almost surely, 2^10007414784 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 10007414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840000).

10007414784 is an abundant number, since it is smaller than the sum of its proper divisors (20066265216).

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

10007414784 is an equidigital number, since it uses as much as digits as its factorization.

10007414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 10007414784 its reverse (48741470001), we get a palindrome (58748884785).

The spelling of 10007414784 in words is "ten billion, seven million, four hundred fourteen thousand, seven hundred eighty-four".