4760533800 has 288 divisors, whose sum is σ = 18468103680. Its totient is φ = 1086105600.

The previous prime is 4760533751. The next prime is 4760533861. The reversal of 4760533800 is 83350674.

It is a happy number.

4760533800 is a `hidden beast` number, since 47 + 6 + 0 + 533 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329529 + ... + 343671.

It is an arithmetic number, because the mean of its divisors is an integer number (64125360).

Almost surely, 2^4760533800 is an apocalyptic number.

4760533800 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 4760533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234051840).

4760533800 is an abundant number, since it is smaller than the sum of its proper divisors (13707569880).

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

4760533800 is a wasteful number, since it uses less digits than its factorization.

4760533800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4760533800 is about 68996.6216564260. The cubic root of 4760533800 is about 1682.2293956781.

The spelling of 4760533800 in words is "four billion, seven hundred sixty million, five hundred thirty-three thousand, eight hundred".