4782395520 has 768 divisors, whose sum is σ = 20530298880. Its totient is φ = 1040117760.

The previous prime is 4782395507. The next prime is 4782395537. The reversal of 4782395520 is 255932874.

4782395520 is a `hidden beast` number, since 4 + 78 + 23 + 9 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25038625 + ... + 25038815.

It is an arithmetic number, because the mean of its divisors is an integer number (26732160).

Almost surely, 2^4782395520 is an apocalyptic number.

4782395520 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 4782395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265149440).

4782395520 is an abundant number, since it is smaller than the sum of its proper divisors (15747903360).

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

4782395520 is a wasteful number, since it uses less digits than its factorization.

4782395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4782395520 is about 69154.8662062186. The cubic root of 4782395520 is about 1684.8005551901.

The spelling of 4782395520 in words is "four billion, seven hundred eighty-two million, three hundred ninety-five thousand, five hundred twenty".