9613997568 has 720 divisors, whose sum is σ = 35658342720. Its totient is φ = 2570932224.

The previous prime is 9613997557. The next prime is 9613997633. The reversal of 9613997568 is 8657993169.

9613997568 is a `hidden beast` number, since 9 + 61 + 3 + 9 + 9 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115831255 + ... + 115831337.

It is an arithmetic number, because the mean of its divisors is an integer number (49525476).

It is a vampire number, since it can be written as 96768 ⋅ 99351 (with its own digits).

Almost surely, 2^9613997568 is an apocalyptic number.

9613997568 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 9613997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829171360).

9613997568 is an abundant number, since it is smaller than the sum of its proper divisors (26044345152).

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

9613997568 is an equidigital number, since it uses as much as digits as its factorization.

9613997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 9613997568 is about 98050.9947323330. The cubic root of 9613997568 is about 2126.3495975294.

The spelling of 9613997568 in words is "nine billion, six hundred thirteen million, nine hundred ninety-seven thousand, five hundred sixty-eight".