9406147968 has 384 divisors, whose sum is σ = 32261898240. Its totient is φ = 2574028800.

The previous prime is 9406147897. The next prime is 9406147969. The reversal of 9406147968 is 8697416049.

9406147968 is a `hidden beast` number, since 9 + 406 + 147 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9406147969) by changing a digit.

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, 47746846 + ... + 47747042.

It is an arithmetic number, because the mean of its divisors is an integer number (84015360).

Almost surely, 2^9406147968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9406147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130949120).

9406147968 is an abundant number, since it is smaller than the sum of its proper divisors (22855750272).

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

9406147968 is a wasteful number, since it uses less digits than its factorization.

9406147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9406147968 is about 96985.2976899076. The cubic root of 9406147968 is about 2110.9143007942.

The spelling of 9406147968 in words is "nine billion, four hundred six million, one hundred forty-seven thousand, nine hundred sixty-eight".