10560644640 has 864 divisors, whose sum is σ = 46821181680. Its totient is φ = 2145927168.

The previous prime is 10560644639. The next prime is 10560644663. The reversal of 10560644640 is 4644606501.

10560644640 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 6 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3546917136 + 7013727504 = 59556^2 + 83748^2 .

It is a super-3 number, since 3×10560644640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 10560644595 and 10560644604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26600922 + ... + 26601318.

Almost surely, 2^10560644640 is an apocalyptic number.

10560644640 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 10560644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410590840).

10560644640 is an abundant number, since it is smaller than the sum of its proper divisors (36260537040).

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

10560644640 is a wasteful number, since it uses less digits than its factorization.

10560644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10560644640 in words is "ten billion, five hundred sixty million, six hundred forty-four thousand, six hundred forty".