9648514260 has 1152 divisors, whose sum is σ = 42268262400. Its totient is φ = 1785991680.

The previous prime is 9648514259. The next prime is 9648514261. The reversal of 9648514260 is 624158469.

9648514260 is a `hidden beast` number, since 96 + 48 + 514 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9648514259) and next prime (9648514261).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9648514261) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 163534111 + ... + 163534169.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^9648514260 is an apocalyptic number.

9648514260 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 9648514260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134131200).

9648514260 is an abundant number, since it is smaller than the sum of its proper divisors (32619748140).

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

9648514260 is a wasteful number, since it uses less digits than its factorization.

9648514260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9648514260 is about 98226.8510133558. The cubic root of 9648514260 is about 2128.8912698279.

The spelling of 9648514260 in words is "nine billion, six hundred forty-eight million, five hundred fourteen thousand, two hundred sixty".