9617041980 has 768 divisors, whose sum is σ = 39305871360. Its totient is φ = 1896846336.

The previous prime is 9617041963. The next prime is 9617042051. The reversal of 9617041980 is 891407169.

It is a happy number.

9617041980 is a `hidden beast` number, since 96 + 1 + 70 + 419 + 80 = 666.

9617041980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75724677 + ... + 75724803.

It is an arithmetic number, because the mean of its divisors is an integer number (51179520).

Almost surely, 2^9617041980 is an apocalyptic number.

9617041980 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 9617041980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652935680).

9617041980 is an abundant number, since it is smaller than the sum of its proper divisors (29688829380).

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

9617041980 is a wasteful number, since it uses less digits than its factorization.

9617041980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9617041980 is about 98066.5181394751. The cubic root of 9617041980 is about 2126.5740203392.

The spelling of 9617041980 in words is "nine billion, six hundred seventeen million, forty-one thousand, nine hundred eighty".