4634128800 has 288 divisors, whose sum is σ = 19155024000. Its totient is φ = 1059194880.

The previous prime is 4634128789. The next prime is 4634128813. The reversal of 4634128800 is 88214364.

4634128800 is a `hidden beast` number, since 4 + 634 + 12 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 135876 + ... + 166524.

It is an arithmetic number, because the mean of its divisors is an integer number (66510500).

Almost surely, 2^4634128800 is an apocalyptic number.

4634128800 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 4634128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577512000).

4634128800 is an abundant number, since it is smaller than the sum of its proper divisors (14520895200).

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

4634128800 is a wasteful number, since it uses less digits than its factorization.

4634128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30685 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4634128800 is about 68074.4357303092. The cubic root of 4634128800 is about 1667.2063923100.

The spelling of 4634128800 in words is "four billion, six hundred thirty-four million, one hundred twenty-eight thousand, eight hundred".