5480791680 has 768 divisors, whose sum is σ = 22936780800. Its totient is φ = 1086898176.

The previous prime is 5480791651. The next prime is 5480791691. The reversal of 5480791680 is 861970845.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43155777 + ... + 43155903.

It is an arithmetic number, because the mean of its divisors is an integer number (29865600).

Almost surely, 2^5480791680 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 5480791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468390400).

5480791680 is an abundant number, since it is smaller than the sum of its proper divisors (17455989120).

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

5480791680 is a wasteful number, since it uses less digits than its factorization.

5480791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 5480791680 is about 74032.3691367499. The cubic root of 5480791680 is about 1763.1168598802.

The spelling of 5480791680 in words is "five billion, four hundred eighty million, seven hundred ninety-one thousand, six hundred eighty".