10663792640 has 208 divisors, whose sum is σ = 27441160560. Its totient is φ = 3963617280.

The previous prime is 10663792637. The next prime is 10663792747. The reversal of 10663792640 is 4629736601.

It can be written as a sum of positive squares in 8 ways, for example, as 746819584 + 9916973056 = 27328^2 + 99584^2 .

It is a super-2 number, since 2×10663792640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10663792591 and 10663792600.

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 15 ways as a sum of consecutive naturals, for example, 37949300 + ... + 37949580.

Almost surely, 2^10663792640 is an apocalyptic number.

10663792640 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 10663792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720580280).

10663792640 is an abundant number, since it is smaller than the sum of its proper divisors (16777367920).

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

10663792640 is a wasteful number, since it uses less digits than its factorization.

10663792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 10663792640 in words is "ten billion, six hundred sixty-three million, seven hundred ninety-two thousand, six hundred forty".