4878437760 has 512 divisors, whose sum is σ = 20398694400. Its totient is φ = 1078272000.

The previous prime is 4878437741. The next prime is 4878437771. The reversal of 4878437760 is 677348784.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4878437697 and 4878437706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749110 + ... + 3750410.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^4878437760 is an apocalyptic number.

4878437760 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 4878437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199347200).

4878437760 is an abundant number, since it is smaller than the sum of its proper divisors (15520256640).

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

4878437760 is a wasteful number, since it uses less digits than its factorization.

4878437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 4878437760 is about 69845.8141909735. The cubic root of 4878437760 is about 1696.0041978062.

The spelling of 4878437760 in words is "four billion, eight hundred seventy-eight million, four hundred thirty-seven thousand, seven hundred sixty".