4775846400 has 480 divisors, whose sum is σ = 18895873920. Its totient is φ = 1174487040.

The previous prime is 4775846399. The next prime is 4775846401. The reversal of 4775846400 is 46485774.

4775846400 is a `hidden beast` number, since 4 + 7 + 7 + 584 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4775846399) and next prime (4775846401).

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 (4775846401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4492269 + ... + 4493331.

It is an arithmetic number, because the mean of its divisors is an integer number (39366404).

Almost surely, 2^4775846400 is an apocalyptic number.

4775846400 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 4775846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447936960).

4775846400 is an abundant number, since it is smaller than the sum of its proper divisors (14120027520).

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

4775846400 is a wasteful number, since it uses less digits than its factorization.

4775846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4775846400 is about 69107.4988695149. The cubic root of 4775846400 is about 1684.0311359371.

The spelling of 4775846400 in words is "four billion, seven hundred seventy-five million, eight hundred forty-six thousand, four hundred".