4805740800 has 864 divisors, whose sum is σ = 20986156800. Its totient is φ = 1052835840.

The previous prime is 4805740789. The next prime is 4805740859. The reversal of 4805740800 is 80475084.

4805740800 is a `hidden beast` number, since 4 + 8 + 0 + 574 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 35078332 + ... + 35078468.

Almost surely, 2^4805740800 is an apocalyptic number.

4805740800 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 4805740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10493078400).

4805740800 is an abundant number, since it is smaller than the sum of its proper divisors (16180416000).

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

4805740800 is a wasteful number, since it uses less digits than its factorization.

4805740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4805740800 is about 69323.4505777086. The cubic root of 4805740800 is about 1687.5375596578.

The spelling of 4805740800 in words is "four billion, eight hundred five million, seven hundred forty thousand, eight hundred".