11664656640 has 576 divisors, whose sum is σ = 50959372800. Its totient is φ = 2460450816.

The previous prime is 11664656639. The next prime is 11664656659. The reversal of 11664656640 is 4665646611.

It is a happy number.

11664656640 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 46 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3143106 + ... + 3146814.

Almost surely, 2^11664656640 is an apocalyptic number.

11664656640 is a gapful number since it is divisible by the number (10) 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 11664656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25479686400).

11664656640 is an abundant number, since it is smaller than the sum of its proper divisors (39294716160).

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

11664656640 is a wasteful number, since it uses less digits than its factorization.

11664656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 11664656640 in words is "eleven billion, six hundred sixty-four million, six hundred fifty-six thousand, six hundred forty".