4842055680 has 768 divisors, whose sum is σ = 20379340800. Its totient is φ = 951582720.

The previous prime is 4842055663. The next prime is 4842055681. The reversal of 4842055680 is 865502484.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842055681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54405076 + ... + 54405164.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^4842055680 is an apocalyptic number.

4842055680 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 4842055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

4842055680 is an abundant number, since it is smaller than the sum of its proper divisors (15537285120).

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

4842055680 is a wasteful number, since it uses less digits than its factorization.

4842055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4842055680 is about 69584.8811165184. The cubic root of 4842055680 is about 1691.7775585159. Note that the first 3 decimals are identical.

The spelling of 4842055680 in words is "four billion, eight hundred forty-two million, fifty-five thousand, six hundred eighty".