4782960000 has 960 divisors, whose sum is σ = 21457756320. Its totient is φ = 995328000.

The previous prime is 4782959999. The next prime is 4782960011. The reversal of 4782960000 is 692874.

4782960000 is a `hidden beast` number, since 47 + 8 + 2 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65519964 + ... + 65520036.

Almost surely, 2^4782960000 is an apocalyptic number.

4782960000 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 4782960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728878160).

4782960000 is an abundant number, since it is smaller than the sum of its proper divisors (16674796320).

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

4782960000 is a wasteful number, since it uses less digits than its factorization.

4782960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4782960000 is about 69158.9473604103. The cubic root of 4782960000 is about 1684.8668398793.

The spelling of 4782960000 in words is "four billion, seven hundred eighty-two million, nine hundred sixty thousand".