9658414080 has 528 divisors, whose sum is σ = 39699354240. Its totient is φ = 2205646848.

The previous prime is 9658414067. The next prime is 9658414099. The reversal of 9658414080 is 804148569.

9658414080 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 47 ways as a sum of consecutive naturals, for example, 8708566 + ... + 8709674.

Almost surely, 2^9658414080 is an apocalyptic number.

9658414080 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 9658414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849677120).

9658414080 is an abundant number, since it is smaller than the sum of its proper divisors (30040940160).

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

9658414080 is a wasteful number, since it uses less digits than its factorization.

9658414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9658414080 is about 98277.2307302154. The cubic root of 9658414080 is about 2129.6191344406.

The spelling of 9658414080 in words is "nine billion, six hundred fifty-eight million, four hundred fourteen thousand, eighty".