4795845120 has 480 divisors, whose sum is σ = 18384537600. Its totient is φ = 1145733120.

The previous prime is 4795845113. The next prime is 4795845121. The reversal of 4795845120 is 215485974.

4795845120 is a `hidden beast` number, since 47 + 9 + 584 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4795845121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32186806 + ... + 32186954.

It is an arithmetic number, because the mean of its divisors is an integer number (38301120).

Almost surely, 2^4795845120 is an apocalyptic number.

4795845120 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 4795845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4795845120 is an abundant number, since it is smaller than the sum of its proper divisors (13588692480).

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

4795845120 is a wasteful number, since it uses less digits than its factorization.

4795845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4795845120 is about 69252.0405475535. The cubic root of 4795845120 is about 1686.3784732252.

The spelling of 4795845120 in words is "four billion, seven hundred ninety-five million, eight hundred forty-five thousand, one hundred twenty".