10004443680 has 288 divisors, whose sum is σ = 39992823360. Its totient is φ = 2078791680.

The previous prime is 10004443667. The next prime is 10004443697. The reversal of 10004443680 is 8634440001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239386 + ... + 278054.

It is an arithmetic number, because the mean of its divisors is an integer number (138863970).

Almost surely, 2^10004443680 is an apocalyptic number.

10004443680 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 10004443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996411680).

10004443680 is an abundant number, since it is smaller than the sum of its proper divisors (29988379680).

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

10004443680 is a wasteful number, since it uses less digits than its factorization.

10004443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38712 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10004443680 its reverse (8634440001), we get a palindrome (18638883681).

The spelling of 10004443680 in words is "ten billion, four million, four hundred forty-three thousand, six hundred eighty".