4878958560 has 288 divisors, whose sum is σ = 18161127936. Its totient is φ = 1078502400.

The previous prime is 4878958541. The next prime is 4878958589. The reversal of 4878958560 is 658598784.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4878958494 and 4878958503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228205 + ... + 3229715.

It is an arithmetic number, because the mean of its divisors is an integer number (63059472).

Almost surely, 2^4878958560 is an apocalyptic number.

4878958560 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 4878958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080563968).

4878958560 is an abundant number, since it is smaller than the sum of its proper divisors (13282169376).

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

4878958560 is a wasteful number, since it uses less digits than its factorization.

4878958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The square root of 4878958560 is about 69849.5423034396. The cubic root of 4878958560 is about 1696.0645482435.

The spelling of 4878958560 in words is "four billion, eight hundred seventy-eight million, nine hundred fifty-eight thousand, five hundred sixty".