10564784640 has 720 divisors, whose sum is σ = 41316375672. Its totient is φ = 2579890176.

The previous prime is 10564784639. The next prime is 10564784647. The reversal of 10564784640 is 4648746501.

10564784640 is a `hidden beast` number, since 1 + 0 + 564 + 7 + 8 + 46 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10482483456 + 82301184 = 102384^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10564784640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564784647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285534702 + ... + 285534738.

Almost surely, 2^10564784640 is an apocalyptic number.

10564784640 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 10564784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658187836).

10564784640 is an abundant number, since it is smaller than the sum of its proper divisors (30751591032).

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

10564784640 is an frugal number, since it uses more digits than its factorization.

10564784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10564784640 in words is "ten billion, five hundred sixty-four million, seven hundred eighty-four thousand, six hundred forty".