10000439064 has 256 divisors, whose sum is σ = 35204889600. Its totient is φ = 2554675200.

The previous prime is 10000439047. The next prime is 10000439087. The reversal of 10000439064 is 46093400001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009624 + ... + 1019480.

It is an arithmetic number, because the mean of its divisors is an integer number (137519100).

Almost surely, 2^10000439064 is an apocalyptic number.

10000439064 is a gapful number since it is divisible by the number (14) 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 10000439064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602444800).

10000439064 is an abundant number, since it is smaller than the sum of its proper divisors (25204450536).

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

10000439064 is a wasteful number, since it uses less digits than its factorization.

10000439064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10000439064 its reverse (46093400001), we get a palindrome (56093839065).

The spelling of 10000439064 in words is "ten billion, four hundred thirty-nine thousand, sixty-four".