11647710720 has 240 divisors, whose sum is σ = 40640680080. Its totient is φ = 3082862592.

The previous prime is 11647710719. The next prime is 11647710749. The reversal of 11647710720 is 2701774611.

11647710720 is a `hidden beast` number, since 1 + 1 + 647 + 7 + 1 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3200742 + ... + 3204378.

It is an arithmetic number, because the mean of its divisors is an integer number (169336167).

Almost surely, 2^11647710720 is an apocalyptic number.

11647710720 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 11647710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320340040).

11647710720 is an abundant number, since it is smaller than the sum of its proper divisors (28992969360).

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

11647710720 is a wasteful number, since it uses less digits than its factorization.

11647710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11647710720 in words is "eleven billion, six hundred forty-seven million, seven hundred ten thousand, seven hundred twenty".