4824268800 has 384 divisors, whose sum is σ = 17292851520. Its totient is φ = 1179648000.

The previous prime is 4824268759. The next prime is 4824268819. The reversal of 4824268800 is 88624284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31948725 + ... + 31948875.

Almost surely, 2^4824268800 is an apocalyptic number.

4824268800 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 4824268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646425760).

4824268800 is an abundant number, since it is smaller than the sum of its proper divisors (12468582720).

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

4824268800 is a wasteful number, since it uses less digits than its factorization.

4824268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4824268800 is about 69456.9564550593. The cubic root of 4824268800 is about 1689.7034831017.

The spelling of 4824268800 in words is "four billion, eight hundred twenty-four million, two hundred sixty-eight thousand, eight hundred".