4712263200 has 162 divisors, whose sum is σ = 16637183199. Its totient is φ = 1255050240.

The previous prime is 4712263189. The next prime is 4712263217. The reversal of 4712263200 is 23622174.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4712263200 is a `hidden beast` number, since 4 + 7 + 1 + 22 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 3647676816 + 1064586384 = 60396^2 + 32628^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48540.

It is a hoax number, since the sum of its digits (27) 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 26 ways as a sum of consecutive naturals, for example, 5824396 + ... + 5825204.

Almost surely, 2^4712263200 is an apocalyptic number.

4712263200 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 4712263200

4712263200 is an abundant number, since it is smaller than the sum of its proper divisors (11924919999).

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

4712263200 is an equidigital number, since it uses as much as digits as its factorization.

4712263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4712263200 is about 68645.9263175900. The cubic root of 4712263200 is about 1676.5242766794.

Adding to 4712263200 its reverse (23622174), we get a palindrome (4735885374).

The spelling of 4712263200 in words is "four billion, seven hundred twelve million, two hundred sixty-three thousand, two hundred".