9478944000 has 864 divisors, whose sum is σ = 37605544704. Its totient is φ = 2372198400.

The previous prime is 9478943987. The next prime is 9478944011. The reversal of 9478944000 is 4498749.

9478944000 is a `hidden beast` number, since 94 + 78 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178847974 + ... + 178848026.

It is an arithmetic number, because the mean of its divisors is an integer number (43524936).

Almost surely, 2^9478944000 is an apocalyptic number.

9478944000 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 9478944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802772352).

9478944000 is an abundant number, since it is smaller than the sum of its proper divisors (28126600704).

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

9478944000 is an equidigital number, since it uses as much as digits as its factorization.

9478944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9478944000 is about 97359.8685290813. The cubic root of 9478944000 is about 2116.3459065752.

The spelling of 9478944000 in words is "nine billion, four hundred seventy-eight million, nine hundred forty-four thousand".