11679056640 has 432 divisors, whose sum is σ = 42051784320. Its totient is φ = 2990407680.

The previous prime is 11679056617. The next prime is 11679056647. The reversal of 11679056640 is 4665097611.

11679056640 is a `hidden beast` number, since 1 + 16 + 79 + 0 + 566 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11679056647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37313124 + ... + 37313436.

Almost surely, 2^11679056640 is an apocalyptic number.

11679056640 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 11679056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025892160).

11679056640 is an abundant number, since it is smaller than the sum of its proper divisors (30372727680).

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

11679056640 is a wasteful number, since it uses less digits than its factorization.

11679056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11679056640 in words is "eleven billion, six hundred seventy-nine million, fifty-six thousand, six hundred forty".