4830168000 has 224 divisors, whose sum is σ = 18228307968. Its totient is φ = 1104000000.

The previous prime is 4830167983. The next prime is 4830168017. The reversal of 4830168000 is 8610384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4830167983) and next prime (4830168017).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153625 + ... + 182375.

Almost surely, 2^4830168000 is an apocalyptic number.

4830168000 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 4830168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114153984).

4830168000 is an abundant number, since it is smaller than the sum of its proper divisors (13398139968).

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

4830168000 is a wasteful number, since it uses less digits than its factorization.

4830168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28788 (or 28768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4830168000 is about 69499.4100694387. The cubic root of 4830168000 is about 1690.3919355204.

Adding to 4830168000 its reverse (8610384), we get a palindrome (4838778384).

The spelling of 4830168000 in words is "four billion, eight hundred thirty million, one hundred sixty-eight thousand".