4873569120 has 672 divisors, whose sum is σ = 20307345408. Its totient is φ = 1081672704.

The previous prime is 4873568981. The next prime is 4873569121. The reversal of 4873569120 is 219653784.

4873569120 is a `hidden beast` number, since 4 + 8 + 73 + 569 + 12 + 0 = 666.

4873569120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

4873569120 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873569121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38374497 + ... + 38374623.

It is an arithmetic number, because the mean of its divisors is an integer number (30219264).

It is a 1-persistent number, because it is pandigital, but 2⋅4873569120 = 9747138240 is not.

Almost surely, 2^4873569120 is an apocalyptic number.

4873569120 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 4873569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10153672704).

4873569120 is an abundant number, since it is smaller than the sum of its proper divisors (15433776288).

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

4873569120 is a wasteful number, since it uses less digits than its factorization.

4873569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4873569120 is about 69810.9527223343. The cubic root of 4873569120 is about 1695.4398106880.

It can be divided in two parts, 48735 and 69120, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 4873569120 in words is "four billion, eight hundred seventy-three million, five hundred sixty-nine thousand, one hundred twenty".