9413455680 has 336 divisors, whose sum is σ = 34324290000. Its totient is φ = 2363719680.

The previous prime is 9413455669. The next prime is 9413455687. The reversal of 9413455680 is 865543149.

9413455680 is a `hidden beast` number, since 9 + 4 + 13 + 4 + 556 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2632921344 + 6780534336 = 51312^2 + 82344^2 .

It is a super-2 number, since 2×9413455680² (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 not an unprimeable number, because it can be changed into a prime (9413455687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3422946 + ... + 3425694.

It is an arithmetic number, because the mean of its divisors is an integer number (102155625).

Almost surely, 2^9413455680 is an apocalyptic number.

9413455680 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 9413455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162145000).

9413455680 is an abundant number, since it is smaller than the sum of its proper divisors (24910834320).

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

9413455680 is a wasteful number, since it uses less digits than its factorization.

9413455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 9413455680 is about 97022.9647042390. The cubic root of 9413455680 is about 2111.4608213853.

The spelling of 9413455680 in words is "nine billion, four hundred thirteen million, four hundred fifty-five thousand, six hundred eighty".