11640711648 has 96 divisors (see below), whose sum is σ = 32424053760. Its totient is φ = 3644119040.

The previous prime is 11640711617. The next prime is 11640711659. The reversal of 11640711648 is 84611704611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774283 + ... + 789173.

It is an arithmetic number, because the mean of its divisors is an integer number (337750560).

Almost surely, 2^11640711648 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 11640711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212026880).

11640711648 is an abundant number, since it is smaller than the sum of its proper divisors (20783342112).

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

11640711648 is a wasteful number, since it uses less digits than its factorization.

11640711648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 11640711648 in words is "eleven billion, six hundred forty million, seven hundred eleven thousand, six hundred forty-eight".