10004640256 has 160 divisors (see below), whose sum is σ = 22451281776. Its totient is φ = 4423680000.

The previous prime is 10004640253. The next prime is 10004640281. The reversal of 10004640256 is 65204640001.

It can be written as a sum of positive squares in 8 ways, for example, as 369254656 + 9635385600 = 19216^2 + 98160^2 .

It is not an unprimeable number, because it can be changed into a prime (10004640253) 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, 16646356 + ... + 16646956.

Almost surely, 2^10004640256 is an apocalyptic number.

10004640256 is a gapful number since it is divisible by the number (16) 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 10004640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225640888).

10004640256 is an abundant number, since it is smaller than the sum of its proper divisors (12446641520).

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

10004640256 is an equidigital number, since it uses as much as digits as its factorization.

10004640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

It can be divided in two parts, 10004 and 640256, that multiplied together give a square (6405121024 = 80032²).

The spelling of 10004640256 in words is "ten billion, four million, six hundred forty thousand, two hundred fifty-six".