11476657764 has 144 divisors (see below), whose sum is σ = 34261753344. Its totient is φ = 3193344000.

The previous prime is 11476657747. The next prime is 11476657781. The reversal of 11476657764 is 46775667411.

11476657764 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 6 + 6 + 577 + 64 = 666.

11476657764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11476657747) and next prime (11476657781).

It is a self number, because there is not a number n which added to its sum of digits gives 11476657764.

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 47 ways as a sum of consecutive naturals, for example, 987789 + ... + 999339.

Almost surely, 2^11476657764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11476657764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130876672).

11476657764 is an abundant number, since it is smaller than the sum of its proper divisors (22785095580).

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

11476657764 is a wasteful number, since it uses less digits than its factorization.

11476657764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 11773 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 11476657764 in words is "eleven billion, four hundred seventy-six million, six hundred fifty-seven thousand, seven hundred sixty-four".