8760648960 has 360 divisors, whose sum is σ = 35828343936. Its totient is φ = 2002268160.

The previous prime is 8760648959. The next prime is 8760648977. The reversal of 8760648960 is 698460678.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8760648897 and 8760648906.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 719725 + ... + 731795.

Almost surely, 2^8760648960 is an apocalyptic number.

8760648960 is a gapful number since it is divisible by the number (80) 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 8760648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914171968).

8760648960 is an abundant number, since it is smaller than the sum of its proper divisors (27067694976).

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

8760648960 is a wasteful number, since it uses less digits than its factorization.

8760648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8760648960 is about 93598.3384467908. The cubic root of 8760648960 is about 2061.4782615296.

The spelling of 8760648960 in words is "eight billion, seven hundred sixty million, six hundred forty-eight thousand, nine hundred sixty".