5456008680 has 128 divisors (see below), whose sum is σ = 17215441920. Its totient is φ = 1381386240.

The previous prime is 5456008673. The next prime is 5456008709. The reversal of 5456008680 is 868006545.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183324 + ... + 210996.

It is an arithmetic number, because the mean of its divisors is an integer number (134495640).

Almost surely, 2^5456008680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456008680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607720960).

5456008680 is an abundant number, since it is smaller than the sum of its proper divisors (11759433240).

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

5456008680 is a wasteful number, since it uses less digits than its factorization.

5456008680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27771 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5456008680 is about 73864.8000064984. The cubic root of 5456008680 is about 1760.4553616859.

The spelling of 5456008680 in words is "five billion, four hundred fifty-six million, eight thousand, six hundred eighty".