4887780480 has 288 divisors, whose sum is σ = 18554625180. Its totient is φ = 1184747520.

The previous prime is 4887780467. The next prime is 4887780493. The reversal of 4887780480 is 840877884.

It is a happy number.

4887780480 is a `hidden beast` number, since 4 + 8 + 87 + 7 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4887780467) and next prime (4887780493).

It can be written as a sum of positive squares in 2 ways, for example, as 4820802624 + 66977856 = 69432^2 + 8184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693454 + ... + 700466.

Almost surely, 2^4887780480 is an apocalyptic number.

4887780480 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 4887780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277312590).

4887780480 is an abundant number, since it is smaller than the sum of its proper divisors (13666844700).

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

4887780480 is a wasteful number, since it uses less digits than its factorization.

4887780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 4887780480 is about 69912.6632306337. The cubic root of 4887780480 is about 1697.0861827047.

It can be divided in two parts, 48877804 and 80, that added together give a palindrome (48877884).

The spelling of 4887780480 in words is "four billion, eight hundred eighty-seven million, seven hundred eighty thousand, four hundred eighty".