11647903680 has 588 divisors, whose sum is σ = 48422829240. Its totient is φ = 2659765248.

The previous prime is 11647903669. The next prime is 11647903681. The reversal of 11647903680 is 8630974611.

It is a happy number.

11647903680 is a `hidden beast` number, since 116 + 479 + 0 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11647903681) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430211 + ... + 11431229.

Almost surely, 2^11647903680 is an apocalyptic number.

11647903680 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 11647903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24211414620).

11647903680 is an abundant number, since it is smaller than the sum of its proper divisors (36774925560).

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

11647903680 is an equidigital number, since it uses as much as digits as its factorization.

11647903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11647903680 in words is "eleven billion, six hundred forty-seven million, nine hundred three thousand, six hundred eighty".