4863516480 has 224 divisors, whose sum is σ = 17292401280. Its totient is φ = 1286737920.

The previous prime is 4863516479. The next prime is 4863516509. The reversal of 4863516480 is 846153684.

4863516480 is a `hidden beast` number, since 4 + 8 + 635 + 1 + 6 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1129692 + ... + 1133988.

It is an arithmetic number, because the mean of its divisors is an integer number (77198220).

Almost surely, 2^4863516480 is an apocalyptic number.

4863516480 is a gapful number since it is divisible by the number (40) 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 4863516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646200640).

4863516480 is an abundant number, since it is smaller than the sum of its proper divisors (12428884800).

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

4863516480 is a wasteful number, since it uses less digits than its factorization.

4863516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4863516480 is about 69738.9165387590. The cubic root of 4863516480 is about 1694.2732886008.

The spelling of 4863516480 in words is "four billion, eight hundred sixty-three million, five hundred sixteen thousand, four hundred eighty".