4800816540 has 240 divisors, whose sum is σ = 16300291392. Its totient is φ = 1175814144.

The previous prime is 4800816497. The next prime is 4800816547. The reversal of 4800816540 is 456180084.

4800816540 is a `hidden beast` number, since 480 + 0 + 81 + 65 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4800816495 and 4800816504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800816547) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5411977 + ... + 5412863.

Almost surely, 2^4800816540 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 4800816540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150145696).

4800816540 is an abundant number, since it is smaller than the sum of its proper divisors (11499474852).

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

4800816540 is a wasteful number, since it uses less digits than its factorization.

4800816540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4800816540 is about 69287.9249220238. The cubic root of 4800816540 is about 1686.9609774730.

The spelling of 4800816540 in words is "four billion, eight hundred million, eight hundred sixteen thousand, five hundred forty".