9670578960 has 640 divisors, whose sum is σ = 38626099200. Its totient is φ = 1950842880.

The previous prime is 9670578949. The next prime is 9670578971. The reversal of 9670578960 is 698750769.

It is an interprime number because it is at equal distance from previous prime (9670578949) and next prime (9670578971).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9670578960.

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 127 ways as a sum of consecutive naturals, for example, 28695912 + ... + 28696248.

It is an arithmetic number, because the mean of its divisors is an integer number (60353280).

Almost surely, 2^9670578960 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 9670578960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313049600).

9670578960 is an abundant number, since it is smaller than the sum of its proper divisors (28955520240).

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

9670578960 is a wasteful number, since it uses less digits than its factorization.

9670578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 9670578960 is about 98339.1018872961. The cubic root of 9670578960 is about 2130.5128523282.

The spelling of 9670578960 in words is "nine billion, six hundred seventy million, five hundred seventy-eight thousand, nine hundred sixty".