4868035200 has 480 divisors, whose sum is σ = 20538075360. Its totient is φ = 1112279040.

The previous prime is 4868035177. The next prime is 4868035223. The reversal of 4868035200 is 25308684.

It is an interprime number because it is at equal distance from previous prime (4868035177) and next prime (4868035223).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1813059 + ... + 1815741.

It is an arithmetic number, because the mean of its divisors is an integer number (42787657).

Almost surely, 2^4868035200 is an apocalyptic number.

4868035200 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 4868035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269037680).

4868035200 is an abundant number, since it is smaller than the sum of its proper divisors (15670040160).

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

4868035200 is a wasteful number, since it uses less digits than its factorization.

4868035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4868035200 is about 69771.3064231995. The cubic root of 4868035200 is about 1694.7978457320.

The spelling of 4868035200 in words is "four billion, eight hundred sixty-eight million, thirty-five thousand, two hundred".