8759052480 has 224 divisors, whose sum is σ = 29038417920. Its totient is φ = 2234327040.

The previous prime is 8759052479. The next prime is 8759052481. The reversal of 8759052480 is 842509578.

It is an interprime number because it is at equal distance from previous prime (8759052479) and next prime (8759052481).

It is a super-4 number, since 4×8759052480⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8759052481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646987 + ... + 2650293.

Almost surely, 2^8759052480 is an apocalyptic number.

8759052480 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 8759052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519208960).

8759052480 is an abundant number, since it is smaller than the sum of its proper divisors (20279365440).

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

8759052480 is a wasteful number, since it uses less digits than its factorization.

8759052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 8759052480 is about 93589.8097016978. The cubic root of 8759052480 is about 2061.3530307479.

The spelling of 8759052480 in words is "eight billion, seven hundred fifty-nine million, fifty-two thousand, four hundred eighty".