11638063776 has 96 divisors (see below), whose sum is σ = 31667751360. Its totient is φ = 3737954304.

The previous prime is 11638063771. The next prime is 11638063817. The reversal of 11638063776 is 67736083611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11638063771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452036 + ... + 1460028.

It is an arithmetic number, because the mean of its divisors is an integer number (329872410).

Almost surely, 2^11638063776 is an apocalyptic number.

11638063776 is a gapful number since it is divisible by the number (16) 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 11638063776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833875680).

11638063776 is an abundant number, since it is smaller than the sum of its proper divisors (20029687584).

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

11638063776 is a wasteful number, since it uses less digits than its factorization.

11638063776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 11638063776 in words is "eleven billion, six hundred thirty-eight million, sixty-three thousand, seven hundred seventy-six".