11640007680 has 352 divisors, whose sum is σ = 43160323584. Its totient is φ = 2622357504.

The previous prime is 11640007657. The next prime is 11640007681. The reversal of 11640007680 is 8670004611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11640007681) 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, 7848219 + ... + 7849701.

Almost surely, 2^11640007680 is an apocalyptic number.

11640007680 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 11640007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580161792).

11640007680 is an abundant number, since it is smaller than the sum of its proper divisors (31520315904).

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

11640007680 is a wasteful number, since it uses less digits than its factorization.

11640007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11640007680 in words is "eleven billion, six hundred forty million, seven thousand, six hundred eighty".