9613563840 has 224 divisors, whose sum is σ = 34491168000. Its totient is φ = 2520032256.

The previous prime is 9613563833. The next prime is 9613563877. The reversal of 9613563840 is 483653169.

9613563840 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 5 + 638 + 4 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 500331 + ... + 519189.

Almost surely, 2^9613563840 is an apocalyptic number.

9613563840 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 9613563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245584000).

9613563840 is an abundant number, since it is smaller than the sum of its proper divisors (24877604160).

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

9613563840 is a wasteful number, since it uses less digits than its factorization.

9613563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9613563840 is about 98048.7829603203. The cubic root of 9613563840 is about 2126.3176208474.

The spelling of 9613563840 in words is "nine billion, six hundred thirteen million, five hundred sixty-three thousand, eight hundred forty".