9678948000 has 96 divisors (see below), whose sum is σ = 31708272960. Its totient is φ = 2581049600.

The previous prime is 9678947989. The next prime is 9678948029. The reversal of 9678948000 is 8498769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391290 + ... + 415289.

It is an arithmetic number, because the mean of its divisors is an integer number (330294510).

Almost surely, 2^9678948000 is an apocalyptic number.

It is an amenable number.

9678948000 is an abundant number, since it is smaller than the sum of its proper divisors (22029324960).

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

9678948000 is a wasteful number, since it uses less digits than its factorization.

9678948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806607 (or 806589 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 9678948000 is about 98381.6446294734. The cubic root of 9678948000 is about 2131.1272659461.

The spelling of 9678948000 in words is "nine billion, six hundred seventy-eight million, nine hundred forty-eight thousand".