11007456768 has 560 divisors, whose sum is σ = 41219076096. Its totient is φ = 2851614720.

The previous prime is 11007456749. The next prime is 11007456793. The reversal of 11007456768 is 86765470011.

11007456768 is a `hidden beast` number, since 1 + 10 + 0 + 74 + 567 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28739905 + ... + 28740287.

Almost surely, 2^11007456768 is an apocalyptic number.

11007456768 is a gapful number since it is divisible by the number (18) 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 11007456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609538048).

11007456768 is an abundant number, since it is smaller than the sum of its proper divisors (30211619328).

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

11007456768 is an frugal number, since it uses more digits than its factorization.

11007456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11007456768 in words is "eleven billion, seven million, four hundred fifty-six thousand, seven hundred sixty-eight".