9679548480 has 448 divisors, whose sum is σ = 37781544960. Its totient is φ = 2050154496.

The previous prime is 9679548449. The next prime is 9679548511. The reversal of 9679548480 is 848459769.

It is an interprime number because it is at equal distance from previous prime (9679548449) and next prime (9679548511).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6000154 + ... + 6001766.

Almost surely, 2^9679548480 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 9679548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890772480).

9679548480 is an abundant number, since it is smaller than the sum of its proper divisors (28101996480).

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

9679548480 is a wasteful number, since it uses less digits than its factorization.

9679548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The square root of 9679548480 is about 98384.6963709296. The cubic root of 9679548480 is about 2131.1713366046.

The spelling of 9679548480 in words is "nine billion, six hundred seventy-nine million, five hundred forty-eight thousand, four hundred eighty".