9613866240 has 720 divisors, whose sum is σ = 39502344000. Its totient is φ = 2207969280.

The previous prime is 9613866233. The next prime is 9613866253. The reversal of 9613866240 is 426683169.

9613866240 is a `hidden beast` number, since 9 + 6 + 13 + 8 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9613866240² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 505992951 + ... + 505992969.

Almost surely, 2^9613866240 is an apocalyptic number.

9613866240 is a gapful number since it is divisible by the number (90) 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 9613866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751172000).

9613866240 is an abundant number, since it is smaller than the sum of its proper divisors (29888477760).

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

9613866240 is an equidigital number, since it uses as much as digits as its factorization.

9613866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9613866240 is about 98050.3250377070. The cubic root of 9613866240 is about 2126.3399154483.

The spelling of 9613866240 in words is "nine billion, six hundred thirteen million, eight hundred sixty-six thousand, two hundred forty".