11633764072 has 128 divisors (see below), whose sum is σ = 26811924480. Its totient is φ = 4626720000.

The previous prime is 11633764061. The next prime is 11633764073. The reversal of 11633764072 is 27046733611.

It is not an unprimeable number, because it can be changed into a prime (11633764073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4559197 + ... + 4561747.

It is an arithmetic number, because the mean of its divisors is an integer number (209468160).

Almost surely, 2^11633764072 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 11633764072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405962240).

11633764072 is an abundant number, since it is smaller than the sum of its proper divisors (15178160408).

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

11633764072 is a wasteful number, since it uses less digits than its factorization.

11633764072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 11633764072 in words is "eleven billion, six hundred thirty-three million, seven hundred sixty-four thousand, seventy-two".