4886904960 has 576 divisors, whose sum is σ = 20303075520. Its totient is φ = 1100335104.

The previous prime is 4886904929. The next prime is 4886904973. The reversal of 4886904960 is 694096884.

4886904960 is a `hidden beast` number, since 488 + 69 + 0 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 4886904897 and 4886904906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72938847 + ... + 72938913.

It is an arithmetic number, because the mean of its divisors is an integer number (35248395).

Almost surely, 2^4886904960 is an apocalyptic number.

4886904960 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 4886904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151537760).

4886904960 is an abundant number, since it is smaller than the sum of its proper divisors (15416170560).

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

4886904960 is an frugal number, since it uses more digits than its factorization.

4886904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4886904960 is about 69906.4014236179. The cubic root of 4886904960 is about 1696.9848468922.

The spelling of 4886904960 in words is "four billion, eight hundred eighty-six million, nine hundred four thousand, nine hundred sixty".