8760482640 has 480 divisors, whose sum is σ = 37807580160. Its totient is φ = 1848075264.

The previous prime is 8760482639. The next prime is 8760482641. The reversal of 8760482640 is 462840678.

It is an interprime number because it is at equal distance from previous prime (8760482639) and next prime (8760482641).

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 (8760482641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1372737 + ... + 1379103.

It is an arithmetic number, because the mean of its divisors is an integer number (78765792).

Almost surely, 2^8760482640 is an apocalyptic number.

8760482640 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 8760482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903790080).

8760482640 is an abundant number, since it is smaller than the sum of its proper divisors (29047097520).

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

8760482640 is a wasteful number, since it uses less digits than its factorization.

8760482640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8760482640 is about 93597.4499652635. The cubic root of 8760482640 is about 2061.4652157976.

The spelling of 8760482640 in words is "eight billion, seven hundred sixty million, four hundred eighty-two thousand, six hundred forty".