4784572800 has 672 divisors, whose sum is σ = 20321668080. Its totient is φ = 1089884160.

The previous prime is 4784572781. The next prime is 4784572847. The reversal of 4784572800 is 82754874.

4784572800 is a `hidden beast` number, since 4 + 78 + 4 + 572 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329454 + ... + 16329746.

Almost surely, 2^4784572800 is an apocalyptic number.

4784572800 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 4784572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160834040).

4784572800 is an abundant number, since it is smaller than the sum of its proper divisors (15537095280).

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

4784572800 is an equidigital number, since it uses as much as digits as its factorization.

4784572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4784572800 is about 69170.6064741376. The cubic root of 4784572800 is about 1685.0561959732.

The spelling of 4784572800 in words is "four billion, seven hundred eighty-four million, five hundred seventy-two thousand, eight hundred".