8768416480 has 96 divisors (see below), whose sum is σ = 20946141216. Its totient is φ = 3468509184.

The previous prime is 8768416463. The next prime is 8768416483. The reversal of 8768416480 is 846148678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768416483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7386447 + ... + 7387633.

It is an arithmetic number, because the mean of its divisors is an integer number (218188971).

Almost surely, 2^8768416480 is an apocalyptic number.

8768416480 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 8768416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473070608).

8768416480 is an abundant number, since it is smaller than the sum of its proper divisors (12177724736).

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

8768416480 is a wasteful number, since it uses less digits than its factorization.

8768416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 8768416480 is about 93639.8231523319. The cubic root of 8768416480 is about 2062.0873428727.

The spelling of 8768416480 in words is "eight billion, seven hundred sixty-eight million, four hundred sixteen thousand, four hundred eighty".