9613644768 has 648 divisors, whose sum is σ = 35880553800. Its totient is φ = 2430425088.

The previous prime is 9613644767. The next prime is 9613644787. The reversal of 9613644768 is 8674463169.

9613644768 is a `hidden beast` number, since 9 + 6 + 136 + 447 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9613644767) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 69162843 + ... + 69162981.

It is an arithmetic number, because the mean of its divisors is an integer number (55371225).

Almost surely, 2^9613644768 is an apocalyptic number.

9613644768 is a gapful number since it is divisible by the number (98) 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 9613644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940276900).

9613644768 is an abundant number, since it is smaller than the sum of its proper divisors (26266909032).

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

9613644768 is a wasteful number, since it uses less digits than its factorization.

9613644768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 9613644768 is about 98049.1956519787. The cubic root of 9613644768 is about 2126.3235873531.

The spelling of 9613644768 in words is "nine billion, six hundred thirteen million, six hundred forty-four thousand, seven hundred sixty-eight".