11724056640 has 560 divisors, whose sum is σ = 43587204672. Its totient is φ = 2988969984.

The previous prime is 11724056633. The next prime is 11724056651. The reversal of 11724056640 is 4665042711.

11724056640 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 4 + 0 + 5 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11724056595 and 11724056604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74675442 + ... + 74675598.

Almost surely, 2^11724056640 is an apocalyptic number.

11724056640 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 11724056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793602336).

11724056640 is an abundant number, since it is smaller than the sum of its proper divisors (31863148032).

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

11724056640 is a wasteful number, since it uses less digits than its factorization.

11724056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11724056640 in words is "eleven billion, seven hundred twenty-four million, fifty-six thousand, six hundred forty".