9686100480 has 320 divisors, whose sum is σ = 36120902400. Its totient is φ = 2213363712.

The previous prime is 9686100467. The next prime is 9686100491. The reversal of 9686100480 is 840016869.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632402 + ... + 2636078.

It is an arithmetic number, because the mean of its divisors is an integer number (112877820).

Almost surely, 2^9686100480 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 9686100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060451200).

9686100480 is an abundant number, since it is smaller than the sum of its proper divisors (26434801920).

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

9686100480 is an equidigital number, since it uses as much as digits as its factorization.

9686100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9686100480 is about 98417.9885996457. The cubic root of 9686100480 is about 2131.6520851036.

The spelling of 9686100480 in words is "nine billion, six hundred eighty-six million, one hundred thousand, four hundred eighty".