4630348800 has 1320 divisors, whose sum is σ = 22113495360. Its totient is φ = 928972800.

The previous prime is 4630348787. The next prime is 4630348813. The reversal of 4630348800 is 88430364.

It is an interprime number because it is at equal distance from previous prime (4630348787) and next prime (4630348813).

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×4630348800² = 42880260019322880000, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 159667186 + ... + 159667214.

It is an arithmetic number, because the mean of its divisors is an integer number (16752648).

Almost surely, 2^4630348800 is an apocalyptic number.

4630348800 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 4630348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056747680).

4630348800 is an abundant number, since it is smaller than the sum of its proper divisors (17483146560).

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

4630348800 is a wasteful number, since it uses less digits than its factorization.

4630348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4630348800 is about 68046.6663400934. Note that the first 3 decimals coincide. The cubic root of 4630348800 is about 1666.7529626428.

The spelling of 4630348800 in words is "four billion, six hundred thirty million, three hundred forty-eight thousand, eight hundred".