10966760640 has 896 divisors, whose sum is σ = 45822412800. Its totient is φ = 2441134080.

The previous prime is 10966760603. The next prime is 10966760681. The reversal of 10966760640 is 4606766901.

It is a happy number.

10966760640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63391594 + ... + 63391766.

Almost surely, 2^10966760640 is an apocalyptic number.

10966760640 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 10966760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22911206400).

10966760640 is an abundant number, since it is smaller than the sum of its proper divisors (34855652160).

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

10966760640 is a wasteful number, since it uses less digits than its factorization.

10966760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10966760640 in words is "ten billion, nine hundred sixty-six million, seven hundred sixty thousand, six hundred forty".