9605746080 has 288 divisors, whose sum is σ = 37548935424. Its totient is φ = 2190532608.

The previous prime is 9605746069. The next prime is 9605746103. The reversal of 9605746080 is 806475069.

9605746080 is a `hidden beast` number, since 9 + 60 + 57 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5976637 + ... + 5978243.

It is an arithmetic number, because the mean of its divisors is an integer number (130378248).

Almost surely, 2^9605746080 is an apocalyptic number.

9605746080 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 9605746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774467712).

9605746080 is an abundant number, since it is smaller than the sum of its proper divisors (27943189344).

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

9605746080 is a wasteful number, since it uses less digits than its factorization.

9605746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9605746080 is about 98008.9081665539. The cubic root of 9605746080 is about 2125.7410899821.

The spelling of 9605746080 in words is "nine billion, six hundred five million, seven hundred forty-six thousand, eighty".