4797088800 has 576 divisors, whose sum is σ = 18846793728. Its totient is φ = 1036800000.

The previous prime is 4797088799. The next prime is 4797088819. The reversal of 4797088800 is 88807974.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31768725 + ... + 31768875.

It is an arithmetic number, because the mean of its divisors is an integer number (32720128).

Almost surely, 2^4797088800 is an apocalyptic number.

4797088800 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 4797088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423396864).

4797088800 is an abundant number, since it is smaller than the sum of its proper divisors (14049704928).

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

4797088800 is a wasteful number, since it uses less digits than its factorization.

4797088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 4797088800 is about 69261.0193398855. The cubic root of 4797088800 is about 1686.5242336948.

The spelling of 4797088800 in words is "four billion, seven hundred ninety-seven million, eighty-eight thousand, eight hundred".