10663226640 has 320 divisors, whose sum is σ = 40409913600. Its totient is φ = 2584327680.

The previous prime is 10663226633. The next prime is 10663226641. The reversal of 10663226640 is 4662236601.

10663226640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 2 + 2 + 6 + 640 = 666.

It is a super-2 number, since 2×10663226640² (a number of 21 digits) contains 22 as substring.

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 = 10663226595 and 10663226604.

It is not an unprimeable number, because it can be changed into a prime (10663226641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2873106 + ... + 2876814.

It is an arithmetic number, because the mean of its divisors is an integer number (126280980).

Almost surely, 2^10663226640 is an apocalyptic number.

10663226640 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 10663226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204956800).

10663226640 is an abundant number, since it is smaller than the sum of its proper divisors (29746686960).

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

10663226640 is a wasteful number, since it uses less digits than its factorization.

10663226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10663226640 in words is "ten billion, six hundred sixty-three million, two hundred twenty-six thousand, six hundred forty".