9654036480 has 576 divisors, whose sum is σ = 37255982400. Its totient is φ = 2292449280.

The previous prime is 9654036451. The next prime is 9654036481. The reversal of 9654036480 is 846304569.

9654036480 is a `hidden beast` number, since 96 + 54 + 0 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (9654036481) 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, 90224587 + ... + 90224693.

It is an arithmetic number, because the mean of its divisors is an integer number (64680525).

Almost surely, 2^9654036480 is an apocalyptic number.

9654036480 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 9654036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627991200).

9654036480 is an abundant number, since it is smaller than the sum of its proper divisors (27601945920).

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

9654036480 is a wasteful number, since it uses less digits than its factorization.

9654036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9654036480 is about 98254.9565161982. The cubic root of 9654036480 is about 2129.2973414606.

The spelling of 9654036480 in words is "nine billion, six hundred fifty-four million, thirty-six thousand, four hundred eighty".