4774624800 has 288 divisors, whose sum is σ = 17166401280. Its totient is φ = 1143014400.

The previous prime is 4774624793. The next prime is 4774624823. The reversal of 4774624800 is 84264774.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190111 + ... + 2192289.

It is an arithmetic number, because the mean of its divisors is an integer number (59605560).

Almost surely, 2^4774624800 is an apocalyptic number.

4774624800 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 4774624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583200640).

4774624800 is an abundant number, since it is smaller than the sum of its proper divisors (12391776480).

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

4774624800 is a wasteful number, since it uses less digits than its factorization.

4774624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4774624800 is about 69098.6599001746. The cubic root of 4774624800 is about 1683.8875392012.

The spelling of 4774624800 in words is "four billion, seven hundred seventy-four million, six hundred twenty-four thousand, eight hundred".