4827340800 has 504 divisors, whose sum is σ = 18116845656. Its totient is φ = 1274019840.

The previous prime is 4827340789. The next prime is 4827340829. The reversal of 4827340800 is 80437284.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49766352 + ... + 49766448.

Almost surely, 2^4827340800 is an apocalyptic number.

4827340800 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 4827340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058422828).

4827340800 is an abundant number, since it is smaller than the sum of its proper divisors (13289504856).

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

4827340800 is an frugal number, since it uses more digits than its factorization.

4827340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4827340800 is about 69479.0673512534. The cubic root of 4827340800 is about 1690.0620637082.

The spelling of 4827340800 in words is "four billion, eight hundred twenty-seven million, three hundred forty thousand, eight hundred".