10641604608 has 288 divisors, whose sum is σ = 32883217920. Its totient is φ = 3397386240.

The previous prime is 10641604591. The next prime is 10641604609. The reversal of 10641604608 is 80640614601.

10641604608 is a `hidden beast` number, since 1 + 0 + 6 + 41 + 6 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10641604608² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641604609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109707216 + ... + 109707312.

It is an arithmetic number, because the mean of its divisors is an integer number (114177840).

Almost surely, 2^10641604608 is an apocalyptic number.

10641604608 is a gapful number since it is divisible by the number (18) 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 10641604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441608960).

10641604608 is an abundant number, since it is smaller than the sum of its proper divisors (22241613312).

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

10641604608 is an frugal number, since it uses more digits than its factorization.

10641604608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10641604608 in words is "ten billion, six hundred forty-one million, six hundred four thousand, six hundred eight".