4840879680 has 896 divisors, whose sum is σ = 21629583360. Its totient is φ = 992010240.

The previous prime is 4840879643. The next prime is 4840879721. The reversal of 4840879680 is 869780484.

4840879680 is a `hidden beast` number, since 484 + 0 + 87 + 9 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36953215 + ... + 36953345.

It is an arithmetic number, because the mean of its divisors is an integer number (24140160).

Almost surely, 2^4840879680 is an apocalyptic number.

4840879680 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 4840879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814791680).

4840879680 is an abundant number, since it is smaller than the sum of its proper divisors (16788703680).

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

4840879680 is a wasteful number, since it uses less digits than its factorization.

4840879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4840879680 is about 69576.4304919417. The cubic root of 4840879680 is about 1691.6405855972.

The spelling of 4840879680 in words is "four billion, eight hundred forty million, eight hundred seventy-nine thousand, six hundred eighty".