8480760624 has 240 divisors, whose sum is σ = 28802442240. Its totient is φ = 2274048000.

The previous prime is 8480760601. The next prime is 8480760647. The reversal of 8480760624 is 4260670848.

It is an interprime number because it is at equal distance from previous prime (8480760601) and next prime (8480760647).

It is a self number, because there is not a number n which added to its sum of digits gives 8480760624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11292249 + ... + 11292999.

It is an arithmetic number, because the mean of its divisors is an integer number (120010176).

Almost surely, 2^8480760624 is an apocalyptic number.

8480760624 is a gapful number since it is divisible by the number (84) 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 8480760624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401221120).

8480760624 is an abundant number, since it is smaller than the sum of its proper divisors (20321681616).

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

8480760624 is a wasteful number, since it uses less digits than its factorization.

8480760624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

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

The square root of 8480760624 is about 92091.0452975749. The cubic root of 8480760624 is about 2039.2866133033.

The spelling of 8480760624 in words is "eight billion, four hundred eighty million, seven hundred sixty thousand, six hundred twenty-four".